JEE Questions for Maths Straight Line And Pair Of Straight Lines Quiz 7

The equation of the line bisecting perpendicularly the segment joining the points (–4,and (8,is

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6x + y – 19 = 0
0%
y = 7
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6x + 2y – 19 = 0
0%
x + 2y – 7 = 0

Maths-Straight Line and Pair of Straight Lines-51761.png

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(1, 1)
0%
(–1, 1)
0%
(1, –1)
0%
(–1, –1)

Maths-Straight Line and Pair of Straight Lines-51763.png

0%
(5,(–1, –1)
0%
(7,(–1, –1)
0%
(5,(–1, –1)
0%
(7,(1, 1)

For the lines 2x + 5y = 7 and 2x – 5y = 9, which of the following statements is true ?

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Lines are parallel
0%
Lines are coincident
0%
Lines are intersecting
0%
Lines are perpendicular

The opposite vertices of a square are (1,and (3, 8), then the equation of a diagonal of the square passing through the point (1,2), is

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3x – y – 1 = 0
0%
3y – x – 1 = 0
0%
3x + y + 1 = 0
0%
None of these

The ends of the base of an isosceles triangle are at (2a,and (0, a). The equation of one sides is x = 2a.The equation of the other side is

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

The diagonal passing through origin of a quadrilateral formed by x = 0, y = 0, x + y = 1 and 6x + y = 3, is

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

A vertex of square is (3,and diagonal x + 2y = 1, then the second diagonal which passes through given vertex will be

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2x – y + 2 = 0
0%
x + 2y = 11
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2x – y = 2
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None of these

A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant, then the line passes through

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A fixed point
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A variable point
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Origin
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None of these

If the straight line ax + by + c = 0 always passes through (1,-2), then a, b, c are

0%
In A.P
0%
In H.P
0%
In G.P
0%
None of these

If a and b are two arbitrary constants, then the straight line (a – 2b) x + (a + 3b)y + 3a + 4b = 0 will pass through

0%
(–1, –2)
0%
(1, 2)
0%
(–2, –3)
0%
(2, 3)

If a + b + c = 0 and p ≠ 0 the lines ax + (b + c)y = p,bx + (c + a)y = p and cx + (a + b)y = p

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Do not intersect
0%
Intersect
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Are concurrent
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None of these

The symmetry in curve x³ + y³ = 3axy along

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x-axis
0%
y-axis
0%
Line y = x
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Opposite quadrants

The points (1,and (5,are the opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c, then the value of c will be

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4
0%
–4
0%
2
0%
–2

The slope of the straight line which does not intersect x-axis is equal to

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0%
2)
0%
0%
1
0%
0

Maths-Straight Line and Pair of Straight Lines-51777.png

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An equailateral triangle
0%
A right angled triangle
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An isosceles triangle
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An obtuse angled triangle

The points P(a,b+c), Q (b,c+ a) and R (c, a + b) are such that PQ = QR if

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a, b, c are in A.P
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a, b, c are in G.P
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a, b, c are in H.P.
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none of these

Maths-Straight Line and Pair of Straight Lines-51780.png

0%
(– 1, – 1)
0%
(– 1, 1)
0%
(1, – 1)
0%
(1, 1)

The centroid of a triangle lies at the origin and the co-ordinates of its two vertices are (– 8,are (9, 4). The area of the triangle is

0%
0%
2)
0%
0%
285

If a, b, c form an A.P. with common difference d (≠and x, y, z form a G.P. with common ratio r (≠ 1), then the area of the triangle with vertices (a, x), (b, y) and (c, z) is independent of

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a
0%
d
0%
n
0%
r

If a, b, c form a G.P. with common ratio r, the sum of the ordinates of the points of intersection of the line ax + by + c = 0 and the curve x + 2y² = 0 is

0%
0%
2)
0%
0%

Maths-Straight Line and Pair of Straight Lines-51792.png

0%
30o
0%
60o
0%
45o
0%
90o

The angle between the lines whose intercepts on the axes are a, –b and b, –a respectively, is

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

Maths-Straight Line and Pair of Straight Lines-51798.png

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

If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4, then m =

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0%
2)
0%
0%

To which of the following types the straight lines represented by 2x + 3y – 7 = 0 and 2x + 3y – 5 = 0 belong ?

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Parallel to each other
0%
Perpendicular to each other
0%
Inclined at 45o to each other
0%
Coincident pair of straight lines

Maths-Straight Line and Pair of Straight Lines-51809.png

0%
0%
2)
0%
0%

Angle between x = 2 and x – 3y = 6 is

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∞
0%
tan–1(3)
0%
0%
None of these

Maths-Straight Line and Pair of Straight Lines-51817.png

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x = 0
0%
y = 0
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x + y = 0
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x – y = 0

The equation of the bisector of that angle between the lines x + 2y – 11 = 0, 3x – 6y – 5 = 0 which contains the point (1,–is

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3x = 19
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3y = 7
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3x = 19 and 3y = 7
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None of these

The line passing through the points (3,–and (–2, and a line passing through (–3,and (9,–are

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Perpendicular
0%
Parallel
0%
Makes an angle 60o with each other
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None of these

If the line 2x + 3ay – 1 = 0 and 3x + 4y + 1 = 0 are mutually perpendicular, then the value of a will be

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0%
2
0%
0%
None of these

A straight line through origin bisect the line passing through the given points (a cos α, a sin α) and (a cos β , a sin β ), then the lines are

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Perpendicular
0%
Parallel
0%
0%
None of these

The equation of the bisector of the acute angle between the lines 3x – 4y + 7 = 0 and 12x + 5y – 2 = 0 is

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21x + 77y – 101 = 0
0%
11x – 3y + 9 = 0
0%
31x + 77y + 101 = 0
0%
11x – 3y – 9 = 0

Maths-Straight Line and Pair of Straight Lines-51827.png

0%
0%
2)
0%
0%

The vertices of a triangle are A(3, 7), B(3,and C(5, 4).The equation of the bisector of the angle ∠ABC is

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y = x + 1
0%
y = x – 1
0%
y = 3x – 5
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y = x
0%
y = –x

If the lines ax + by + c = 0, bx + cy + a = 0 and cx + ay + b = 0 be concurrent, then

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0%
2)
0%
0%
None of these

Maths-Straight Line and Pair of Straight Lines-51838.png

0%
0%
2)
0%
0%

Maths-Straight Line and Pair of Straight Lines-51844.png

0%
Parallel
0%
Perpendicular
0%
Concurrent
0%
None of these

The value of k such that the lines 2x – 3y + k = 0, 3x – 4y – 13 = 0 and 8x + 11y – 33 = 0 are concurrent, is

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20
0%
–7
0%
7
0%
–20

The straight lines x + 2y – 9 = 0, 3x + 5y – 5 = 0 and ax + by – 1 = 0 are concurrent, if the straint line 35x – 22y + 1 = 0 passes through the point

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(a, b)
0%
(b, a)
0%
(–a, –b)
0%
None of these

Maths-Straight Line and Pair of Straight Lines-51848.png

0%
0
0%
1
0%
0%
None of these

Maths-Straight Line and Pair of Straight Lines-51851.png

0%
0%
2)
0%
0%

Maths-Straight Line and Pair of Straight Lines-51857.png

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

The foot of the coordinates drawn from (2,to the line x + y = 1 is

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0%
2)
0%
0%

A straight line passes through a fixed point (h,k).The locus of the foot of perpendicular on it drawn from the origin is

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0%
2)
0%
0%
None of these

If A and B are two points on the line 3x + 4y + 15 = 0 such that OA = OB = 9 units, then the area of the triangle OAB is

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18 sq.units
0%
2)
0%
0%
None of these

The co-ordinates of the foot of the perpendiuclar drawn from the point (3,on the line 2x + y – 7 = 0 is

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0%
(1,5)
0%
(–5,1)
0%
(1, –5)

Line L has intercepts a and b on the co-ordinate axes.When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q, then