JEE Questions for Maths Straight Line And Pair Of Straight Lines Quiz 4 - MCQExams.com

Equation of the bisector of the acute angle between lines 3x + 4y + 5 = 0 and 12x - 5y - 7 = 0 is
  • 21x + 77y + 100 = 0
  • 99x - 27y + 30 = 0
  • 99x + 27y + 30 = 0
  • 21x - 77y - 100 = 0
The vertices of a triangle are A (3, 7), B (3,and C (5, 4). The equation of the bisector of ∠ABC is
  • y = x + 1
  • y = x - 1
  • y = 3x - 5
  • y = x
  • y = - x
If P is a point (x, y) on the line y = -3x such that P and the point (3,are on the opposite sides of the line 3x - 4y - 8 = 0, then
  • x > 8/15, y < - (8/5)
  • x > 8/5, y < - (8/15)
  • x = 8/15, y = - (8/5)
  • None of these
If one of the lines of my2 + (1 - m2)xy - mx2 = 0 is a bisector of the angle between the lines xy = 0, then m is/are
  • - 1/2
  • - 2
  • ± 1
  • 2
If P = (-1, 0), Q = (0,and R = (3, 3√be three points. The equation of the bisector of ∠PQR is
  • √3x + y = 0
  • x + (√3/2)y = 0
  • (√3/2)x + y = 0
  • x + √3y = 0
The equation of bisectors of the angles between the lines |x| = |y| are
  • y = ± x and x = 0
  • x = 1/2 and y = 1/2
  • y = 0 and x = 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
  • 99x - 27y - 81 = 0
  • 11x - 3y + 9 = 0
  • 21x + 77y - 101 = 0
  • 21x + 77y + 101 = 0
The line 2x - y = 1 bisects angle between two lines. If equation of one line is y = x, then the equation of the other line is
  • 7x - y - 6 = 0
  • x - 2y + 1 = 0
  • 3x - 2y - 1 = 0
  • x - 7y + 6 = 0
  • None of these
The position of reflection of the point (4,about the line y = x -1 is
  • (1, 2)
  • (3, 4)
  • (-1, 0)
  • (-2, -1)
  • (2, 3)
Three straight lines 2x + 11y - 5 = 0, 24x + 7y - 20 = 0 and 4x - 3y - 2 = 0
  • form a triangle
  • are only concurrent
  • are concurrent with one line bisecting the angle between the other two
  • None of the above
P and Q are points on the line joining the points A (25,and B (55, –such that
AP = PQ = QB, then the mid pt. of PQ is
  • (30, 20)
  • (30, 54)
  • (40, 10)
  • (15, 10)

Maths-Straight Line and Pair of Straight Lines-51574.png
  • 30o
  • 60o
  • 45o
  • 90o
The angle between the lines x cos 30o + y sin 30o = 3 and x cos 60o + y sin 60o = 5 is
  • 90o
  • 30o
  • 60o
  • None of these
The angle between the two lines y – 2x = 9 and x + 2y = 7, is
  • 60o
  • 30o
  • 90o
  • 45o
The angle between the lines x + 2y = 11 and 2x – y = 9 is
  • 30o
  • 45o
  • 60o
  • 90o

Maths-Straight Line and Pair of Straight Lines-51579.png
  • 60o
  • 120o
  • 150o
  • 135o

Maths-Straight Line and Pair of Straight Lines-51581.png
  • 1
  • 2
  • –1
  • –2

Maths-Straight Line and Pair of Straight Lines-51583.png

  • Maths-Straight Line and Pair of Straight Lines-51584.png
  • 2)
    Maths-Straight Line and Pair of Straight Lines-51585.png

  • Maths-Straight Line and Pair of Straight Lines-51586.png

  • Maths-Straight Line and Pair of Straight Lines-51587.png

Maths-Straight Line and Pair of Straight Lines-51589.png
  • 90o
  • 60o
  • 75o
  • 30o
If vertices of parallelogram are respectively (0,0), (1,0), (2,and (1,2), then angle between diagonals is

  • Maths-Straight Line and Pair of Straight Lines-51591.png
  • 2)
    Maths-Straight Line and Pair of Straight Lines-51592.png

  • Maths-Straight Line and Pair of Straight Lines-51593.png

  • Maths-Straight Line and Pair of Straight Lines-51594.png
Equation of angle bisectors between x and y-axes are
  • y = ± x
  • y = ± 2x

  • Maths-Straight Line and Pair of Straight Lines-51596.png
  • y = ± 3x
If the line passing through (4,and (2, k) is perpendicular y = 2x + 3, then k =
  • –1
  • 1
  • –4
  • 4
The number of straight lines which are equally inclined to both the axes is
  • 4
  • 2
  • 3
  • 1
Which of the following lines is concurrent with the lines 3x + 4y + 6 = 0 and 6x + 5y + 9 = 0
  • 2x + 3y + 5 = 0
  • 3x + 3y + 5 = 0
  • 7x + 9y + 3 = 0
  • None of these
The solution of equations x + y = 10, 2x + y = 18 and 4x – 3y = 36 will be
  • Only one solution
  • No solution
  • Infinite solution
  • None of the above
The three straight lines ax + by = c, bx + cy = a and cx + ay = b are collinear, if
  • a + b + c = 0
  • b + c = a
  • c + a = b
  • a + b = c
The three lines lx + my + n = 0, mx + ny + l = 0, nx + ly + m = 0 are concurrent if
  • l = m + n
  • m = l + n
  • n = l + m
  • l + m + n = 0
The straight lines 4ax + 3by + c = 0 where a + b + c = 0, will be concurrent, if point is
  • (4,3)
  • 2)
    Maths-Straight Line and Pair of Straight Lines-51607.png

  • Maths-Straight Line and Pair of Straight Lines-51608.png
  • None of these
One vertex of the equilateral triangle with centroid at the origin and one side as x + y – 2 = 0 is
  • (–1, –1)
  • (2, 2)
  • (–2, –2)
  • None of these
The coordinates of the foot of the perpendicular from (0,upon the line x + y = 2 are
  • (2, –1)
  • (–2,1)
  • (1,1)
  • (1,2)
The reflection of the point (4, –in the line 5x + y + 6 = 0 is
  • (–1, –14)
  • (3,4)
  • (1,2)
  • (–4, 13)
Image of the point (–1,w.r.t. the line y = 2x is
  • (–1, –5)
  • (1,3)
  • (3,1)
  • (5,1)
If the extremities of the base of an isosceles triangle are the points (2a,and (0,a) and the equation of one of the sides is x = 2a, then the areas of the triangle is
  • 5a2 sq.units
  • 2)
    Maths-Straight Line and Pair of Straight Lines-51614.png

  • Maths-Straight Line and Pair of Straight Lines-51615.png
  • None of these
The equation to the sides of a triangle are x – 3y = 0, 4x + 3y = 5 and 3x + y = 0. Then line 3x – 4y = 0 passes through
  • The incentre
  • The centroid
  • The circumcentre
  • The orthocentre of the triangle
Two lines are drawn through (3,, each of which makes angle of 45o with the line x – y = 2, then area of the triangle formed by these lines is
  • 9
  • 2)
    Maths-Straight Line and Pair of Straight Lines-51617.png
  • 2

  • Maths-Straight Line and Pair of Straight Lines-51618.png
The area of the triangle formed by the line x sin α + y cos α = sin 2α and the coordinates axes is
  • sin 2α
  • cos 2α
  • 2 sin 2α
  • 2 cos 2α
The triangle formed by x2 – 9y2 = 0 and x = 4 is
  • Isosceles
  • Equilateral
  • Right angled
  • None of these
The locus of a point so that sum of its distance from two given perpendicular lines is equal to 2 units in first quadrant, is
  • x + y + 2 = 0
  • x + y = 0
  • x – y = 2
  • None of these
If the sum of distance from a point P on two mutually perpendicular straight lines is 1 unit , then the locus of P is
  • A parabola
  • A circle
  • An ellipse
  • A straight line
The distance between the lines 3x + 4y = 9 and 6x + 8y =15 is

  • Maths-Straight Line and Pair of Straight Lines-51623.png
  • 2)
    Maths-Straight Line and Pair of Straight Lines-51624.png
  • 6
  • None of these
If p and p\' be the distances of origin from the lines x sec α + y cosec α = k and x cos α – y sin α = k cos 2α, then 4p2 + p12
  • k
  • 2k
  • k2
  • 2k2
The length of perpendicular from (3,on line 4x + 3y + 20 = 0, is
  • 6
  • 7
  • 5
  • 8
The number of points on the line x + y = 4 which are unit distance apart from the line 2x + 2y = 5 is
  • 0
  • 1
  • 2
  • Infinity
The ratio in which the line 3x + 4y + 2 = 0 divides the distance between 3x + 4y + 5 = 0 and 3x + 4y - 5 = 0, is
  • 7 : 3
  • 3 : 7
  • 2 : 3
  • None of these

Maths-Straight Line and Pair of Straight Lines-51630.png
  • A.P
  • G.P
  • H.P
  • None of these
In what ratio the line y – x + 2 = 0 divides the line joining the points (3, –and (8,9)
  • 1 : 2
  • 2 : 1
  • 2 : 3
  • 3 : 4
A point equidistant from the lines 4x + 3y + 10 = 0, 5x – 12y + 26 = 0 and 7x + 24y – 50 = 0 is
  • (1, –1)
  • (1, 1)
  • (0, 0)
  • (0, 1)
Which pair of points lie on the same side of 3x – 8y – 7 = 0
  • (0, –and (0, 0)
  • (4, –and (0, 1)
  • (–3, –and (1, 2)
  • (–1, –and (3, 7)
The number of integral values of m, for which the x-co-ordinate of the point of intersection of the lines 3x + 4y = 9 and y = mx + 1 is also an integer is
  • 2
  • 0
  • 4
  • 1
The sides AB, BC, CD and DA of a quadrilateral are x + 2y = 3, x – 3y = 4,5x + y + 12 = 0 respectively.The angle between diagonals AC and BD is
  • 45o
  • 60o
  • 90o
  • 30o
0:0:1


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