# MCQ Questions for Class 11 Maths Chapter 10 Straight Lines with answers

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Below you will find MCQ Questions of Chapter 10 Straight Lines Class 11 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 11 Maths Chapter 10 Straight Lines with answers

1. What will be the new equation of the straight line 5x + 8y = 10, if the origin gets shifted to (2,-3) ?

(a) 5x + 8y = -4

(b) 5x + 8y = – 14

(c) 5x – 8y = 14

(d) 8x + 5y = 24

► (a) 5x + 8y = -4

2. Let ax + by + c = 0 be a variable straight line, where a, b and c are 1st, 3rd and 7th terms of some increasing A. P. Then the variable straight line always passes through a fixed point which lies on

(a) x2 + y2 = 13

(b) x2 + y2 = 5

(c) y2 = 9x

(d) 3x + 4y = 9

► (a) x2 + y2 = 13

3. Let P and Q be the points on the line joining A(–2 , 5) and B(3 , 1) such that AP = PQ = QB , then the mid point of PQ is

(a) (1/2 , 3)

(b) (-1/4 ,4)

(c) (2, 3)

(d) (– 1, 4)

► (a) (1/2 , 3)

4. Slope of a line is not defined if the line is

(a) parallel to the line x – y

(b) parallel to Y axis

(c) parallel to X axis

(d) parallel to the line x+y

► (b) parallel to Y axis

5. If the slope of the line passing through the points (2, 5) and (x, 1) is 2, then x = ……

(a) -2

(b) 0

(c) 8

(d) 6

► (b) 0

6. What will be the new equation of the straight line 3x + 4y = 15, if the origin gets shifted to (1,-3) ?

(a) 3x+4y=4

(b) 3x-4y=4

(c) 4x+3y=6

(d) 3x+4y=6

► (d) 3x+4y=6

7. The number of values of k for which the linear equations 4x + ky + 2z = 0 , kx + 4y + z = 0 , 2x + 2y + z = 0 posses a non zero solution is

(a) 3

(b) 2

(c) 1

(d) zero

► (b) 2

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

(a) (- 3a , 2b)

(b) (a , - 2b)

(c) (3a , - 2b)

(d) None of these

► (c) (3a , - 2b)

9. m1 and m2 are the slope of two perpendicular lines, if

(a) m1.m2 = 1

(b) m1= m2

(c) m1 + m2 = 0

(d) 1 + m1.m2 = 0

► (d) 1 + m1.m2 = 0

10. What will be the value of ‘p” if the equation of the straight line 3x + 5y = 10 gets changed to 3x + 5y = p after shifting the origin at (2,2) ?

(a) 6

(b) -6

(c) 26

(d) None of these

► (c) 26

11. The lines y = mx , y + 2x = 0 , y = 2x + λ and y = - mx + λ form a rhombus if m =

(a) 2

(b) - 1

(c) 1

(d) None of these

► (a) 2

12. The coordinates of centroid of triangle whose vertices are A(-1,-3), B(5,-6) and C(2,3) and origin gets shifted to (1,2)

(a) (4,-1)

(b) (2,-2)

(c) (0,0)

(d) (-1,4)

► (d) (-1,4)

13. The point A divides the join of the points (–5, 1) and (3, 5) in the ratio k : 1 and coordinates of points B and C are (1, 5) and (7, –2) respectively. If the area of ΔABC be 2 units, then k equals

(a) 7, 9

(b) 6,7

(c) 7, 31/9

(d) 9, 31/9

► (c) 7, 31/9

14. The position of the point (8, –9) with respect to the lines 2x + 3y – 4 = 0 and 6x + 9y + 8 = 0 is

(a) Point lies on the same side of the lines

(b) Points lies on one of the lines

(c) Point lies on the different sides of the line

(d) None of these

► (a) Point lies on the same side of the lines

15. Slope of a line is not defined, when q = ____

(a) 60°

(b) 90°

(c) 30°

(d) 45°

► (b) 90°

16. The distance of any point (x, y) from the origin is defined as d = max {| x |, | y |} , then the distance of the common point for the family of lines x(1 + λ) + λy + 2 + λ = 0  (λ being parameter) from origin is

(a) 1

(b) 2

(c) √5

(d) 0

► (b) 2

17. Let A(2, 12) and B(6,4) be two points. The slope of a line perpendicular to the line AB is:

(a) 2

(b) -2

(c) 1/2

(c) -1/2

► (c) 1/2

18. The value k such that 3x2 + 11xy + 10y2 + 7x + 13y + k = 0 represents a pair of straight lines is

(a) 1

(b) 2

(c) 3

(d) 4

► (d) 4

19. Two lines are said to be parallel when the difference of their slopes is

(a) -1

(b) 0

(c) 1

(d) 2

► (b) 0

20. The lines ix + my + n = 0 , mx + ny + l = 0 and nx + ly +m = 0 are concurrent if

(a) l + m – n = 0

(b) l + m + n = 0

(c) l – m – n = 0

(d) I – m + n = 0

► (b) l + m + n = 0

21. Area of a triangle whose vertices are (a cos q, b sinq), (–a sin q, b cos q) and (–a cos q, –b sin q) is

(a) Ab sin q cos q

(b) A cos q sin q

(c) 1/2 ab

(d) Ab

► (d) Ab

22. When the origin is shifted to a point P, the point (2, 0) is transformed to (0, 4) then the coordinates of P are

(a) (2, - 4)

(b) (-2, 4)

(c) (-2,- 4)

(d) (2, 4)

► (a) (2, - 4)

Hope the given MCQ Questions will help you in cracking exams with good marks. These Straight Lines MCQ Questions will help you in practising more and more questions in less time.