# Class 11 Mathematics Chapter 10 Straight Lines MCQ Questions with Answer

Straight Lines Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Straight Lines class 11 MCQ which will help them all through their board test.

## Straight Lines Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 10 Straight Lines. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Straight Lines Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Straight Lines MCQ with answers given below.

Question 1. What is the area of the triangle whose vertices are (0,0,0) (3, 4, 0) and (3, 4, 6) ?
(a) 12 square units
(b) 15 square units
(c) 30 square units
(d) 36 square units

Question 2. The points (1,3) and (5,1) are two opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c, then one of the remaining vertices is
(a) (4, 4)
(b) (2, 2)
(c) (0, 2)
(d) (4, 2)

Question 3. Which one of the the following is the nearest point on the line 3x– 4y = 25 from the origin?
(a) ( –1, –7)
(b) (3, –4)
(c) ( –5, –8)
(b) (3, 4)

Question 4. If the mid point of the section of a straight line intercepted between the axes is (1, 1), then what is the equation of this line?
(a) 2x + y = 3
(b) 2x – y = 1
(c) x – y = 0
(d) x + y = 2

Question 5. What is the equation of the line which passes through (4, – 5) and is parallel to the line 3x + 4y +5 = 0 ?
(a) 3x – 4y – 32 = 0
(b) 3x + 4y + 8 = 0
(c) 4x – 3y – 31 = 0
(d) 3x + 4y – 8 = 0

B

Question 6. The equation of a straight line which cuts off an intercept of 5 units on negative direction of y-axis and makes an angle of 120º with the positive direction of x-axis is
(a) 3x + y + 5 = 0
(b) 3x + y – 5 = 0
(c) 3x – y – 5 = 0
(d) 3x – y + 5 = 0

Question 7. The equation of the straight line that passes through the point (3, 4) and perpendicular to the line 3x + 2y + 5 = 0 is
(a) 2x + 3y + 6 = 0
(b) 2x – 3y – 6 = 0
(c) 2x – 3y + 6 = 0
(d) 2x + 3y – 6 = 0

Question 8. A point moves such that its distance from the point (4, 0) is half that of its distance from the line x = 16. The locus of the point is
(a) 3x2 + 4y2 = 192
(b) 4x2 + 3y2 = 192
(c) x2 + y2 = 192
(d) None of these

Question 9. If a, b, c are in A.P., then the straight lines ax + by + c = 0 will always pass through
(a) (1, – 2)
(b) (1, 2)
(c) (– 1, 2)
(d) (– 1, – 2)

Question 10. If the points (5, –1, 1), (–1, –3, 4) and (1, –6, 10) are the three vertices of a rhombus taken in order, then which one of the following is the fourth vertex?
(a) (7, – 4, 11)
(b) (3, 7/2,11/2)
(c) (7, – 4, 7)
(d) (7, 4, 11)

C

Question 11. What is the angle between the two straight lines y = (2 – 3)x + 5 and y = (2 + 3) x – 7?
(a) 60°
(b) 45°
(c) 30°
(d) 15°

Question 12. The middle point of A (1, 2) and B (x, y) is C (2, 4).If BD is perpendicular to AB such that CD = 3 unit, then what is the length BD ?
(a) 2 2 unit
(b) 2 unit
(c) 3 unit
(d) 3 2 unit

Question 13. If A (2, 3), B (1, 4), C (0 – 2) and D (x, y) are the vertices of a parallelogram, then what is the value of (x, y) ?
(a) (1, – 3)
(b) (2, 4)
(c) (1, 1)
(d) (0, 0)

Question 14. If (a, b), (c, d) and (a – c, b – d) are collinear, then which one of the following is correct ?
(a) bc – ad = 0
(b) ab – cd = 0
(c) bc + ad = 0
(d) ab + cd = 0

Question 15. One of the equations of the lines passing through the point (3, – 2) and inclined at 60° to the line 3x+y = 1:
(a) x – y = 3
(b) x + 2 = 0
(c) x + y = 0
(d) y + 2 = 0

Question 16. The straight lines x + 2y – 9 = 0, 3x + 5y – 5 = 0 and ax + by = 1 are concurrent if the straight line 35x – 22y + 1 = 0 passes through :
(a) (a, b)
(b) (b, a)
(c) (a, – b)
(d) (– a, b)

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Straight Lines Class 11 MCQ are ready by the subject specialists themselves.

Question 17. Let A (1, k), B(1, 1) and C (2, 1) be the vertices of a right angled triangle with AC as its hypotenuse.
If the area of the triangle is 1square unit, then the set of values which ‘k’ can take is given by
(a) {–1, 3}
(b) {–3, –2}
(c) {1, 3}
(d) {0, 2}

A

Question 18. The point (x, y) lies on the line with slope m and through the fixed point (x0, y0) if and only if its coordinates satisfy the equation y – y0 is equal to ……… .
(a) m(x – x0)
(b) m(y – x0)
(c) m(y – x)
(d) m(x – y0)

Question 19. The point (x, y) on the line with slope m and y-intercept c lies on the line if and only if :
(a) y = mx + c
(b) x = my + c
(c) y = mc + y
(d) x = mc + y

Question 20. The distances of the point (1, 2, 3) from the coordinate axes are A, B and C respectively. Now consider the following equations:
(1) A2 = B2 + C2
(2) B2 = 2C2
(3) 2A2C2 = 13 B2
Which of these hold(s) true?
(a) 1 only
(b) 1 and 3
(c) 1 and 2
(d) 2 and 3

Question 21. The intercept cut off by a line from y-axis twice than that from x-axis, and the line passes through the point (1, 2). The equation of the line is
(a) 2x + y = 4
(b) 2x + y + 4 = 0
(c) 2x – y = 4
(d) 2x – y + 4 = 0

Question 22. One vertex of the equilateral triangle with centroid at the origin and one side as x + y – 2 = 0 is
(a) (–1, –1)
(b) (2, 2)
(c) (–2, – 2)
(d) (2, –2)

B

Question 23. If p be the length of the perpendicular from the origin on the straight line ax + by = p and b = √3/2 , then what is the angle between the perpendicular and the positive direction of x-axis?
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Question 24. The coordinates of P and Q are (–3, 4) and (2, 1), respectively. If PQ is extended to R such that PR = 2QR, then what are the coordinates of R ?
(a) (3, 7)
(b) (2, 4)
(c) (1/2, 5/2)
(d) (7, – 2)

Question 25. A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes through the point (5, 3). The co-ordinates of the point A is
(a) (13/5 , 0)
(b) (5/13 , 0)
(c) (–7, 0)
(d) None of these

Question 26. The coordinates of three points O, A and B are (0,0), (0, 4) and (6, 0), respectively. If a point P movesso that the area of D POA is always twice the area of D POB, then P lies on
(a) 3x – y = 0
(b) x + y = 0
(c) x – 3y = 0
(d) x + 3y = 0

A

Question 27. P(3, 1), Q (6, 5) and R (x, y) are three points such that the angle RPQ is a right angle and the area of DRQP = 7, then the number of such points R is
(a) 0
(b) 1
(c) 2
(d) 4

Question 28. The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y – 11 = 0 are
(a) (–6, 5)
(b) (5, 6)
(c) (–5, 6)
(d) (6, 5)

Question 29. The reflection of the point (4, – 13) about the line 5x + y + 6 = 0 is
(a) (–1, –14)
(b) (3, 4)
(c) (0, 0)
(d) (1, 2)

Question 30. Locus of the mid-points of the portion of the line x sin q + y cos q = p intercepted between the axis is
(a) 4xy = p2(x2 + y2)
(b) 4x2y2 = p2(x2 + y2)
(c) 4x2y2 = p(x + y)
(d) 4xy = p(x + y)

Question 31. What is the locus of a moving point equidistant from the straight lines x + y = 0 and x – y = 0 ?
(a) xy = 0
(b) xy = constant
(c) x = 0
(d) y = 0

Question 32. What is the image of the point (2, 3) in the line y = – x ?
(a) (– 3, – 2)
(b) (– 3, 2)
(c) (– 2, – 3)
(d) (3, 2)

A

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