# MCQ Questions Chapter 10 Straight Lines Class 11 Mathematics

Please refer to MCQ Questions Chapter 10 Straight Lines Class 11 Mathematics with answers provided below. These multiple-choice questions have been developed based on the latest NCERT book for class 11 Mathematics issued for the current academic year. We have provided MCQ Questions for Class 11 Mathematics for all chapters on our website. Students should learn the objective based questions for Chapter 10 Straight Lines in Class 11 Mathematics provided below to get more marks in exams.

## Chapter 10 Straight Lines MCQ Questions

Please refer to the following Chapter 10 Straight Lines MCQ Questions Class 11 Mathematics with solutions for all important topics in the chapter.

MCQ Questions Answers for Chapter 10 Straight Lines Class 11 Mathematics

Question. 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
(a) 3x + 4 y = 0
(b) 3x – 4 y = 0
(c) 4x – 3y = 0
(d) 4x + 3y = 0

D

Question. The line passing through (1-π/2) and perpendicular to √3sin θ + 2 cos θ = 4/r is
(a) 2 = √3r cosq – 2r sinq
(b) 5 = -2√3r sinq + 4r cosq
(c) 2 = √3r cosq + 2r sinq
(d) 5 = 2√3r sinq – 4r cosq

A

Question. A line ABmakes zero intercepts on x-axis and y-axis and it is perpendicular to another line CD which is 3x + 4 y + 6 = 0. The equation of line AB is
(a) y = 4
(b) 4x – 3y + 8 = 0
(c) 4x – 3y = 0
(d) 4x – 3y + 6 = 0

A

Question. Orthocentre of the triangle formed by the lines x + y = 1 and xy = 0 is
(a) (0, 0)
(b) (0,1)
(c) (1, 0)
(d) (-1,1)

A

Question. The equation of bisectors of the angles between the lines|x|=|y|are
(a) y = ± x and x = 0
(b) x = 1/2 and y = 1/2
(c) y = 0 and x = 0
(d) None of these

A

Question. Equation of straight line belonging to families of straight lines (x + 2y) + l(3x + 2y + 1) = 0 and (x – 2y) + m(x – y + 1) = 0 is
(a) 6x + 5 y = 2
(b) 5x – 6 y + 4 = 0
(c) 5x + 6 y = 4
(d) None of these

B

Question. Equation of a line passing through the line of intersection of lines 2x – 3 y + 4 = 0, 3x + 4 y – 5 = 0 and perpendicular to 6x – 7 y + 3 = 0, is
(a) 119x + 102y + 125 = 0
(b) 119x + 102y = 125
(c) 119x -102y = 125
(d) None of these

B

Question. If the lines x = a + m, y = – 2 and y = mx are concurrent, then least value of|a|is
(a) 0
(b) 2
(c) 2√2
(d) None of these

A

Question. The equation of straight line through the intersection of the lines x – 2y = 1 and x + 3 y = 2 and parallel to 3x + 4 y = 0, is
(a) 3x + 4 y + 5 = 0
(b) 3x + 4 y -10 = 0
(c) 3x + 4 y – 5 = 0
(d) 3x + 4 y + 6 = 0

A

Question. The lines ax + by + c = 0, bx + cy + a = 0 and cx + ay + b = 0(a ≠ b ≠ c) are concurrent, if
(a) a3 + b3 + c3 + 3abc  = 0
(b) a2 + b2 + c2 + 3abc  = 0
(c) a + b + c = 0
(d) None of the above

A

Question. The line x/a – y/b – = 1 cuts the x-axis at P. The equation of the line through P perpendicular to the given line is
(a) x + y = ab
(b) x + y = a + b
(c) ax + by = a2
(d) bx + ay = b2

A

Question. A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is
(a) 1/3
(b) 2/3
(c) 1
(d) 4/3

D

Question. The line through the points (h, 3) and (4, 1) intersects the line 7x – 9 y – 19 = 0 at right angle. Find the value of h.
(a) – 22/9
(b) 22/9
(c) 22/7
(d) 22/13

B

Question. Find the angle between the lines y = (2 – 3)(x + 5) and y = (2 + 3)(x – 7).
(a) -π/3 or 2π/3
(b) π/3 or 2π/3
(c) π/3 or -2π/3
(d) None of these

B

Question. Orthocentre of triangle with vertices (0, 0), (3, 4) and (4, 0) is
(a) (3, 5/4)
(b) (3, 12)
(c) (3, 3/4)
(d) (3, 9)

A

Question. The equation of the sides of a triangle are x – 3 y = 0, 4x + 3 y = 5 and 3x + y = 0. The line 3x – 4 y = 0 passes through the
(a) incentre
(b) centroid
(c) orthocentre
(d) circumcentre

A

Question. The inclination of the straight line passing through the point (- 3,6) and the mid-point of the line joining the points (4,- 5) and (- 2,9) is
(a) π/4
(b) π/6
(c) π/3
(d) 3π/4

D

Question. The distance of the point of intersection of lines 2x – 3 y + 5 = 0 and 3x + 4 y = 0 from the line 5x – 2y = 0 is
(a) 130/17√29
(b) 13/7√29
(c) 130/7
(d) 13/7

A

Question. The coordinates of the foot of perpendicular from the point (2, 3) on the line y = 3x + 4 is given by
(a) (37/10 , -1/10)
(b) (-1/10 , -37/10)
(c) (10/37 , -10)
(d) (2/3 , -1/3)

B

Question. A point equidistant from the lines 4x + 3 y + 10 = 0, 5x – 12y + 26 = 0 and 7x + 24 y – 50 = 0 is
(a) (1, –1)
(b) (1, 1)
(c) (0, 0)
(d) (0, 1)

A

Question. The length of perpendicular from the point (acos a, asin a) upon the straight line y = x tan a + c,c > 0, is
(a) c
(b) c sin2α
(c) c cosa
(d) c sec2α

A

Question. The distance of the point (3, 5) from the line 2x + 3 y – 14 = 0 measured parallel to line x – 2y = 1, is
(a) 7/√5
(b) 7/√13
(c) √5
(d) √13

A

Question. A square of area 25 sq units is formed by taking two sides as3x + 4 y = k1 and3 4 2 x + y = k , then|k k | 1 2 – is
(a) 5 units
(b) 1 unit
(c) 25 units
(d) None of these

A

Question. Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is
(a) y + 2 = x + 1
(b) y + 2 = 3(x + 1)
(c) y – 2 = 3(x – 1)
(d) y – 2 = x – 1

A

Question. The equations of perpendicular bisectors of sides AB and AC of a D ABC are x – y + 5 = 0 and x + 2y = 0 respectively. If the coordinates of vertex A are (1, – 2), then equation of BC is
(a) 23x + 14 y – 40 = 0
(b) 14x – 23y + 40 = 0
(c) 23x -14 y + 40 = 0
(d) 14x + 23y – 40 = 0

D

Question. The equation of the bisector of the acute angle between the lines 3x – 4 y + 7 = 0 and 12x + 5y – 2 = 0 is
(a) 99x – 27y – 81 = 0
(b) 11x – 3y + 9 = 0
(c) 21x + 77y -101 = 0
(d) 21x + 77y + 101 = 0

A

Question. Equations of diagonals of the square formed by the lines x = 0, y = 0, x = 1 and y = 1 are
(a) y = x, y + x = 1
(b) y = x, x + y = 2
(c) 2y =  x, y + x = 1/3
(d) y = 2x, y + 2x = 1

A

Question. Lines 2x + y = 1 and 2x + y = 7 are
(a) on the same side of a point (0,1/2)
(b) on the opposite side of a point (0,1/2)
(c) same lines
(d) perpendicular lines

A

Question. The triangle formed by the lines x + y = 0, 3x + y = 4, x + 3 y = 4 is
(a) isosceles
(b) equilateral
(c) right angled
(d) None of these

A

Question. Two lines are drawn through (3, 4) each of which makes angle of 45° with line x – y = 2 , then area of the triangle formed by these lines is
(a) 9 sq units
(b) 9/2 sq units
(c) 2 sq units
(d) 2/9 sq unit

B

Question. Locus of the image of the point (2, 3) in the line (x – 2y + 3) + l(2x – 3 y + 4) = 0 is (l ÎR)
(a) x2 + y2  – 3x – 4y – 4  = 0
(b) 2x2 + 3y2  – 2x + 4y – 4  = 0
(c) x2 + y2  – 2x – 4y + 4  = 0
(d) None of the above

C

Question. Two vertices of a triangle are(5, – 1) and(- 2,3). If the orthocentre of the triangle is the origin, then coordinates of third vertex are
(a) (4, 7)
(b) (- 4, -7)
(c) (- 4, 7)
(d) None of these