The equation to the straight line passing through the point (a cos 3 θ, a sin 3 θ) and perpendicular to the line x sec θ + y cosec θ = a, is

x cos θ – y sin θ = a cos 2θ

x cos θ + y sin θ = a cos 2θ

x sin θ + y cos θ = a cos 2θ

JEE Questions for Maths Straight Line And Pair Of Straight Lines Quiz 11

If the line 2x + 3y = 5 and y = mx + c be parallel, then

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0%
2)
0%
0%
None of these

The line (3x – y ++ λ(2x – 3y –= 0 will be parallel to y-axis, if λ =

0%
0%
2)
0%
0%

The equations of the lines which cuts off an intercept –1 from y-axis and equally inclined to the axes are

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x – y + 1 = 0, x + y + 1 = 0
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x – y – 1 = 0, x + y – 1 = 0
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x – y – 1 = 0, x + y + 1 = 0
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None of these

A line L is perpendicular to the line 5x – y = 1 and the area of the triangle formed by the line L and coordinate axes is 5. The equation of the line L is

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x + 5y = 5
0%
2)
0%
x – 5y = 5
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If the coordinates of the points A,B,C,D be (a,b), (a\', b\'), (–a, b) and (a\', –b\') respectively, then the equation of the line bisecting the line segments AB and CD is

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2a'y – 2 bx = ab – a'b'
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2ay – 2b'x = ab – a'b'
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2ay – 2 b'x = a'b – ab'
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None of the above

If the coordinates of A and B be (1,and (5,7), then the equation of the perpendicular bisector of the line segment AB is

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2x + 3y = 18
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2x – 3y + 18 = 0
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2x + 3y – 1 = 0
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3x – 2y + 1 = 0

If the coordinates of the points A, B, C be (–1, 5), (0,and (2,respectively and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

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x + 2y = 0
0%
2x + y = 0
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x – 2y = 0
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2x – y = 0

The equation of the line passing through the point (x\' , y\') and perpendicular to the line yy\' = 2a(x + x\') is

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xy' + 2ay + 2ay' – x' y' = 0
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xy' + 2ay – 2ay' – x' y' = 0
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xy' + 2ay + 2ay' + x' y' = 0
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xy' + 2ay – 2ay' + x' y' = 0

If the middle points of the sides, BC, CA and AB of the triangle ABC be (1,3), (5,and (–5,respectively then the equation of the side AB is

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x – y – 2 = 0
0%
x – y + 12 = 0
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x + y – 12 = 0
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None of these

If the coordinates of the vertices of the triangle ABC be (–1, 6), (–3, –9), and (5, –respectively, then the equation of the median through C is

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13x – 14y – 47 = 0
0%
13x – 14y + 47 = 0
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13x + 14y + 47 = 0
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13x + 14y – 47 = 0

Let A (1, k), B(1,and C (2,be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of value which \'k\' can take is given by

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{1,3}
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{0,2}
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{–1,3}
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{–3, –2}

A line meets x-axis and y-axis at the points A and B respectively. If the middle point of AB be (x₁, y₁), then the equation of the line is

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y1x + x1y = 2x1 y1
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x1x + y1y = 2x1y1
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y1x + x1y = x1y1
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x1x + y1y = x1y1

The equation of the line parallel to the line 2x – 3y = 1 and passing through the middle point of the line segment joining the points (1,and (1, –7), is

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2x – 3y + 8 = 0
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2x – 3y = 8
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2x – 3y + 4 = 0
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2x – 3y = 4

The equation of a straight line passing through (–3,and cutting an intercept equal in magnitude but opposite in signs from the axes is given by

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x – y + 5 = 0
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x + y – 5 = 0
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x – y – 5 = 0
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x + y + 5 = 0

The equation of a line passing through the point of intersection of the lines x + 5y + 7 = 0, 3x + 2y – 5 = 0, and perpendicular to the line 7x + 2y – 5 = 0, is given by

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2x – 7y – 20 = 0
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2x + 7y – 20 = 0
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– 2x + 7y – 20 = 0
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2x + 7y + 20 = 0

A line passes through the point of intersection of 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7 is

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3x + 4y + 3 = 0
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3x + 4y = 0
0%
4x – 3y + 3 = 0
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4x – 3y = 3

The equation of the line which cuts off an intercept 3 units on OX and an intercept –2 unit on OY, is

0%
0%
2)
0%
0%

The equation of a line through (3, –and perpendicular to the line 3x + 4y = 5 is

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4x + 3y = 24
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y – 4 = (x + 3)
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3y – 4x = 24
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The points A(1,and C(5,are the opposite vertices of rectangle. The equation of line passing through other two vertices and of gradient 2, is

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2x + y – 8 = 0
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2x – y – 4 = 0
0%
2x – y + 4 = 0
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2x + y + 7 = 0

The intercept cut off from y-axis is twice that from x-axis by the line and line is passing through (1,then its equation is

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2x + y = 4
0%
2x + y + 4 = 0
0%
2x – y = 4
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2x – y + 4 = 0

The equation of line, which bisects the line joining two points (2, –and (6,and perpendicular to the line joining two points (–1,and (5,is

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3x – 2y = 30
0%
2x – y – 3 = 0
0%
2x + 3y = 20
0%
None of these

The equation of line whose mid point is (x₁, y₁) in between the axes, is

0%
0%
2)
0%
0%
None of these

Maths-Straight Line and Pair of Straight Lines-52270.png

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5x + 3y + 15 = 0
0%
3x + 5y + 15 = 0
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5x + 3y – 15 = 0
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3x + 5y – 15 = 0

The equation of line passing through point of intersection of lines 3x – 2y – 1 = 0 and x – 4y + 3 = 0 and the point (π, 0), is

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x – y = π
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x – y = π (y + 1)
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x – y = π (1 – y)
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x + y = π (1 – y)

The slope of a line that makes an angle of measure 30^o with y-axis is

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0%
2)
0%
0%

Equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120^o with the x-axis, is

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0%
2)
0%
0%

The equation to the straight line passing through the point (a cos³ θ, a sin³ θ) and perpendicular to the line x sec θ + y cosec θ = a, is

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x cos θ – y sin θ = a cos 2θ
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x cos θ + y sin θ = a cos 2θ
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x sin θ + y cos θ = a cos 2θ
0%
None of the above

Maths-Straight Line and Pair of Straight Lines-52284.png

0%
0%
2)
0%
0%

A line passing through origin and is perpendicular to two given 2x + y + 6 = 0 and 4x + 2y – 9 = 0, then the ratio in which the origin divides this line is

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1 : 2
0%
2 : 1
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4 : 3
0%
3 : 4

Equations of lines which pass through the points of intersection of the lines 4x – 3y – 1 = 0 and 2x – 5y + 3 = 0 and are equally inclined to the axes are

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y ± x = 0
0%
y – 1 = ±1 (x – 1)
0%
x – 1 = ±2 (y – 1)
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None of these

The equations of two lines through (0,a) which are at distance \'a\' from the point (2a, 2a) are

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y – a = 0 and 4x – 3y – 3a = 0
0%
y – a = 0 and 3x – 4y + 3a = 0
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y – a = 0 and 4x – 3y + 3a = 0
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None of the above

A line is such that its segment between the straight lines 5x – y – 4 = 0 and 3x + 4y – 4 = 0 is bisected at the point (1,then its equation is

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83x – 35y + 92 = 0
0%
35x – 83y + 92 = 0
0%
35x + 35y + 92 = 0
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None of these

Equation of the line which passes through the point (–4,and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point, is

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9x + 20y + 96 = 0
0%
20x + 9y + 96 = 0
0%
9x – 20y + 96 = 0
0%
None of these

The equation of the line which cuts off the intercepts 2a sec θ and 2a cosec θ on the axes is

0%
x sin θ + y cos θ – 2a = 0
0%
x cos θ + y sin θ – 2a = 0
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x sec θ + y cosec θ – 2a = 0
0%
x cosec θ + y sec θ – 2a = 0

If the equation y = mx + c and x cos α + y sin α = p represents the same straight line, then

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0%
2)
0%
0%

The equation to the line bisecting the join of (3, –and (5,and having its intercepts on the x-axis and the y-axis in the ratio 2 : 1 is

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x + y – 3 = 0
0%
2x – y = 9
0%
x + 2y = 2
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2x + y = 7

A line passes through (2,and is perpendicular to the line 3x + y = 3. Its y-intercept is

0%
0%
2)
0%
1
0%

A straight line makes an angle of 135^o with the x-axis and cuts y-axis at a distance –5 from the origin. The equation of the line is

0%
2x + y + 5 = 0
0%
x + 2y + 3 = 0
0%
x + y + 5 = 0
0%
x + y + 3 = 0

Maths-Straight Line and Pair of Straight Lines-52308.png

0%
0%
2)
0%
0%

Two points (a,and (0,b) are joined by a straight line, another point on this line is

0%
(3a, –2b)
0%
(a2, ab)
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(–3a, 2b)
0%
(a, b)

If the intercept made by the line between the axis is bisected at the point (5,2), then its equation is

0%
5x + 2y = 20
0%
2x + 5y = 20
0%
5x – 2y = 20
0%
2x – 5y = 20

The line parallel to the x-axis and passing through the intersection of the lines ax + 2by + 3b = 0 and bx – 2ay – 3a = 0, where(a,b) ≠ (0,0)is

0%
Above the x-axis at a distance of 3/2 from it
0%
Above the x-axis at a distance of 2/3 from it
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Below the x-axis at a distance of 3/2 from it
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Below the x-axis at a distance of 2/3 from it

If we reduce 3x + 3y + 7 = 0 to the form x cos α + y sin α = p, then the value of p is

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0%
2)
0%
0%

The equation of the straight line joining the origin to the point of intersection of y – x + 7 = 0 and y + 2x – 2 = 0 is

0%
3x + 4y = 0
0%
3x – 4y = 0
0%
4x – 3y = 0
0%
4x + 3y = 0

A line AB makes zero intercepts on x-axis and y-axis and it is perpendicular to another line CD, 3x + 4y + 6 = 0. The equation of line AB is

0%
y = 4
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4x – 3y + 8 = 0
0%
4x – 3y = 0
0%
4x – 3y + 6 = 0

The equation of straight line passing through point of intersection of the straight line 3x – y + 2 = 0 and 5x – 2y + 7 = 0 and having infinite slope is

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x = 2
0%
x + y = 3
0%
x = 3
0%
x = 4

Equation to the straight line cutting off an intercept 2 from the negative direction of the axis of y and inclined at 30^o to the positive direction of axis of x, is

0%
0%
2)
0%
0%

Maths-Straight Line and Pair of Straight Lines-52330.png

0%
0%
2)
0%
0%

The point (t² + 2t + 5, 2t² + t –lies on the line x + y = 2 for

0%
all real values of t
0%
some real values of t
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0%
None of the above

Two consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0. If the equation to one diagonal is 11x + 7y = 9, then the equation of the other diagonal is

0%
x + 2y = 0
0%
2x + y = 0
0%
x – y = 0
0%
None of these

JEE Questions for Maths Straight Line And Pair Of Straight Lines Quiz 11 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Straight Line And Pair Of Straight Lines Quiz 11 - MCQExams.com

0:0:1

Practice Maths Quiz Questions and Answers

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