MCQs For NCERT Class 11 Mathematics Chapter 10 Straight Lines

Please refer to the MCQ Questions for Class 11 Straight Lines Maths with Answers. The following Straight Lines Class 11 Mathematics MCQ Questions have been designed based on the latest syllabus and examination pattern for Class 11. Our experts have designed MCQ Questions for Class 11 Straight Lines with Answers for all chapters in your NCERT Class 11 Mathematics book. You can access all MCQs for Class 11 Mathematics

Straight Lines Class 11 MCQ Questions with Answers

See below Straight Lines Class 11 Mathematics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

Question. If the line x/a + y/b = 1 passes through the points (2, –3) and (4, –5), then (a, b) is 
(a) (1, 1)
(b) (–1, 1)
(c) (1, –1)
(d) (–1, –1)

Question. Find the equations of the lines through the point of intersection of the lines x – y + 1 = 0 and 2x – 3 y + 5 = 0 and whose distance from the point (3, 2) is 7/5
(a) 3x – 4 y + 6 = 0 and 4x – 3y + 1 = 0
(b) 3x + 4 y + 6 = 0 and 4x + 3y + 1 = 0
(c) 3x – 4 – 6 = 0 and 4x + 3y + 1 = 0
(d) None of the above

Question. The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is 
(a) x – y = 5
(b) x + y = 5
(c) x + y = 1
(d) x – y = 1

Question. The equations of the lines which pass through the point (3, –2) and are inclined at 60° to the line 3x + y = 1 is 
(a) y + 2 = 0, √3x – y – 2 – 3√3 = 0
(b) x – 2 = 0, √3x – y + 2 + 3√3 = 0
(c) √3x – y – 2 – 3√3 = 0
(d) None of the above

Question. Equation to the straight line cutting off an intercept 2 from the negative direction of the axis of y and inclined at 30° to the positive direction of x-axis, is
(a) y + x -√3 = 0
(b) y – x + 2 = 0
(c) y – √3x – 2 = 0
(d) √3y – x + 2√3 = 0

6. In the adjacent figure, equation of refracted ray is

(a) y = √3x + 1
(b) y + √3x – 3 = 0
(c) √3x + y – √3 = 0
(d) None of these

7. The determinant

= 0 represents
(a) parabola
(b) a straight line
(c) a circle
(d) None of these

Question. If the intercept of a line between the coordinate axes is divided by the point (–5, 4) in the ratio 1 : 2, then find the equation of the line. 
(a) 8x – 5 y + 60 = 0
(b) 8x – 6 y + 60 = 0
(c) 8x + 5 y + 60 = 0
(d) None of these

Question. The straight line whose sum of the intercepts on the axes is equal to half of the product of the intercepts, passes through the point whose coordinates are
(a) (1, 1)
(b) (2, 2)
(c) (3, 3)
(d) (4, 4)

Question. If non-zero numbers a, b, c are in HP, then the straight line x/a +y/b + 1/c 0 always passes through a fixed point. That point is
(a) (1,-1/2)
(b) (1, – 2)
(c) (-1, – 2)
(d) (-2,2)

Question. If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is (3, 2), then the equation of the line will be 
(a) 2x + 3y = 12
(b) 3x + 2y = 12
(c) 4x – 3y = 6
(d) 5x – 2y = 10

Question. If the straight line ax + by + c = 0 always passes through (1, – 2), then a, b, c are in
(a) AP
(b) HP
(c) GP
(d) None of these

Question. The ratio in which the line3x + 4 y + 2 = 0divides the distance between the lines 3x + 4 y + 5 = 0 and 3x + 4 y – 5 = 0 is 
(a) 1 : 2
(b) 3 : 7
(c) 2 : 3
(d) 2 : 5

Question. A straight line through P(1, 2) is such that its intercept between the axes is bisected at P. Its equation is
(a) x + y = -1
(b) x + y = 3
(c) x + 2y = 5
(d) 2x + y = 4

Question. Equation of a line, which is intersecting the X-axis at a distance of 3 units to the left of origin with slope –2, is
(a) 2x + y + 6 = 0
(b) 2x – y + 6 = 0
(c) 2x – y – 6 = 0
(d) None of these

Question. A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio1 : n. Find the equation of the line.
(a) x(n + 1) + 3(n + 1) y = n + 11
(b) x(n + 1) – 3(n + 1) y = n + 11
(c) x(n + 1) + 3(n + 1) y = n – 11
(d) None of the above

Question. Find the equations of the lines, which cut off intercepts on the axes whose sum and product are 1 and – 6, respectively. 
(a) 2x + 3y + 6 = 0 or 3x – 2y + 6 = 0
(b) 2x – 3y – 6 = 0 or 3x – 2y + 6 = 0
(c) 2x – 3y – 6 = 0 or 3x + 2y + 6 = 0
(d) None of the above

Question. For specifying a straight line, how many geometrical parameters should be known? 
(a) 1
(b) 2
(c) 4
(d) 3

Question. Slope of a line which cuts of intercepts of equal lengths on the axes is [NCERT Exemplar]
(a) –1
(b) –0
(c) 2
(d) 3

Question. The equations of the lines passing through the point (1, 0) and at a distance √3/2 from the origin, are
(a) 3x + y – 3 = 0, 3x – y – 3 = 0
(b) 3x + y + 3 = 0, 3x – y + 3 = 0
(c) x + 3y – 3 = 0, x – 3y – 3 = 0
(d) None of the above

Question. Find the equation of the lines through the point (3, 2) which make an angle of 45° with the line x – 2y = 3.
(a) 3x + y + 7 = 0
(b) 3x – y – 7 = 0
(c) 3x + 2y – 7 = 0
(d) None of these

Question. Find angles between the lines √3x + y = 1 and x + √3 y = 1. 
(a) 35°
(b) 30°
(c) 45°
(d) 60°

Question. In what direction should a line be drawn through the point (1, 2) so that its point of intersection with the line x + y = 4 is at a distance of 
√6/3 from the given point? 
(a) 75°
(b) 60°
(c) 90°
(d) 45°

Question. A ray of light passing through the point (1, 2) reflects on the X-axis at point A and the reflected ray passes through the point (5, 3). Find coordinates of A.
(a) (13/5 , 0)
(b) (-13/5 , 0)
(c) (0 , 13/5)
(d) None of these

Question. Find the equation of the line passing through the point (5, 2) and perpendicular to the line joining the points (2, 3) and (3, –1). 
(a) x – 4 y + 3 = 0
(b) x + 4 y – 3 = 0
(c) x – 4 y – 3 = 0
(d) None of these

Question. Find the equation of the line passing through the point of intersection of 2x + y = 5 and x + 3 y + 8 = 0 and parallel to the line 3x + 4 y = 7. 
(a) 4x – 3y + 3 = 0
(b) 3x + 4 y + 3 = 0
(c) 4x + 3y – 3 = 0
(d) 3x – 4 y – 3 = 0

Question. The value of l for which the lines 3x + 4 y = 5, 5x + 4 y = 4 and lx + 4 y = 6meet at a point is
(a) 2
(b) 1
(c) 4
(d) 3

Question. Find the values of q and p, if the equation x cos q + y sin q = p is the normal form of the line 3x + y + 2 = 0. 
(a) 210°, 1
(b) 210°, 2
(c) 220°, 3
(d) None of these

Question. If t₁ and t₂ are roots of the equation t₂ + λ t + 1 = 0,where λ is an arbitrary constant. Then, the line joining the points (at₁² , 2at₁ )  and (at₂² , 2at₂ ) always passes through a fixed point whose coordinates are
(a) (a , 0)
(b) (- a , 0)
(c) (0, a)
(d) (0, – a)

Question. Find equation of the line passing through the point (2, 2) and cutting off intercepts the axes whose sum is 9. 
(a) x + 2y = 6
(b) 2x + y = 8
(c) 2x + y = 5
(d) 2x – y = 6

Question. Distance between the lines 5x + 3 y – 7 = 0 and 15x + 9 y + 14 = 0 is
(a) 35√34
(b) 1/3√34
(c) 35/3√34
(d) 35/2√34

Question. The point moves such that the area of the triangle formed by it with the points (1, 5) and (3, – 7) is 21 sq units. The locus of the point is
(a) 6x + y – 32 = 0
(b) 6x – y + 32 = 0
(c) x + 6 y – 32 = 0
(d) 6x – y – 32 = 0