MCQ Questions For Class 11 Straight Lines with Answers

Students can refer to the following MCQ Questions for Straight Lines with Answers Class 11 Maths MCQ Questions with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here a collection of multiple choice questions for Straight Lines with Answers Class 11 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

Straight Lines with Answers Class 11 Maths MCQ Questions with Answers

We have provided below Straight Lines with Answers Class 11 Maths MCQ Questions with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Straight Lines with Answers MCQs in Class 11 pdf download can be really scoring for students, you should go through all problems provided below so that you are able to get more marks in your exams.

Straight Lines with Answers Class 11 Maths MCQ Questions

Question. If three points (h, 0), (a, b) and (0, k) lies on a line, then the value of a/h + b/k
(a) 0
(b) 1
(c) 2
(d) 3

Question. The equation of the line which bisects the obtuse angle between the lines x – 2y + 4 = 0 and 4x – 3y + 2 = 0, is
(a) (4 – √5)x – (3 – 2√5)y + (2 – 4√5) = 0
(b) (4 + √5)x – (3 + 2√5)y + (2 + 4√5) = 0
(c) (4 + √5)x + (3 + 2√5)y + (2 + 4√5) = 0
(d) None of these

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

Question. The distance of the point (–1, 1) from the line 12(x + 6) = 5 (y – 2) is
(a) 2
(b) 3
(c) 4
(d) 5

Question. The distance of the line 2x + y = 3 from the point (–1, 3) in the direction whose slope is 1, is
(a) 2/3
(b) √2/3
(c) 2√2/3
(d) 2√5/3

Question. A triangle ABC is right angled at A has points A and B as (2, 3) and (0, –1) respectively. If BC = 5, then point C may be
(a) (– 4, 2)
(b) (4, – 2)
(c) (0, 4)
(d) (0, – 4)

Question. Distance between the parallel lines 
Ax + By + C₁ = 0 and Ax + By + C₂ = 0, is given by:

Question. If the coordinates of the points A and B be (3, 3) and (7, 6), then the length of the portion of the line AB intercepted between the axes is
(a) 5/4
(b) √10/4
(c) √13/3
(d) None of these

Question. The distance between the parallel lines 3x – 4y + 7 = 0 and 3x – 4y + 5 = 0 is a/b . Value of a + b is
(a) 2
(b) 5
(c) 7
(d) 3

Question. Equation of angle bisector between the lines 3x + 4y – 7 = 0 and 12x + 5y + 17 = 0 are
(a) 3x + 4y – 7/√25 = ± 12x + 5y + 17/√169
(b) 3x + 4y + 7/√25 = 12x + 5y + 17/√169
(c) 3x + 4y + 7/√25 = ± 12x + 5y + 17/√169
(d) None of these

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

Question. The line L has intercepts a and b on the coordinate axes. When keeping the origin fixed, the coordinate axes are rotated through a fixed angle, then same line has intercepts p and q on the rotated axes, then
(a) a² + b² = p² + q²
(b) 1/a² + 1/b²  = 1/p² + 1/q²
(c) a² +β² = b² + q²
(d) b² + q² = 1/b² + 1/q²

Question. The equation of the straight line passing through the point (4, 3) and making intercepts on the co-ordinate axes whose sum is –1 is

Question. 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. The equation of a line through the point of intersection of the lines x – 3y + 1 = 0 and 2x + 5y – 9 = 0 and whose distance from the origin is 5 is
(a) 2x + y – 5 =0
(b) x – 3y + 6 = 0
(c) x + 2y – 7 = 0
(d) x + 3y + 8 = 0

Question. If the coordinates of the points A, B, C be (–1, 5), (0, 0) and (2, 2) respectively and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is
(a) x + 2y = 0
(b) 2x + y = 0
(c) x – 2y = 0
(d) 2x – y = 0

Question. 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. 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)

Question. Equation of the straight line making equal intercepts on theaxes and passing through the point (2, 4) is :
(a) 4x – y – 4 = 0
(b) 2x + y – 8 = 0
(c) x + y – 6 = 0
(d) x + 2y – 10 = 0

Question. The line (3x – y + 5) + λ(2x – 3y – 4) = 0 will be parallel to y-axis, if λ =
(a) 1/3
(b) –1/3
(c) 3/2
(d) –3/2

Question. The line joining (–1, 1) and (5, 7) is divided by the line x + y = 4 in the ratio 1 : k. The value of ‘k’ is
(a) 2
(b) 4
(c) 3
(d) 1

ASSERTION – REASON TYPE QUESTIONS

(a) Assertion is correct, reason is correct; reason is a correct explanation for assertion.
(b) Assertion is correct, reason is correct; reason is not a correct explanation for assertion
(c) Assertion is correct, reason is incorrect
(d) Assertion is incorrect, reason is correct.

Question. Assertion: If A (– 2, –1), B (4, 0), C (3, 3) and D (–3, 2) are the vertices of a parallelogram, then mid-point of AC = Mid-point of BD
Reason: The points A, B and C are collinear ⇔ Area of ΔABC = 0.

Question. Assertion: The distance between the parallel lines 3x – 4y + 9 = 0 and 6x – 8y – 15 = 0 is 33/10 .
Reason: Distance between the parallel lines Ax + By + C₁ = 0 and Ax + By + C₂ = 0, is given by d = |C₁ − C₂ |/√A² + B²

Question. Assertion: The inclination of the line l may be acute or obtuse.
Reason: Slope of x-axis is zero and slope of y-axis is not defined.

Question. Assertion: If the lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, are parallel, then a₁/a₂ = b₁/b₂.
Reason: If the lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 are perpendicular, then a₁a₂ – b₁b₂ = 0.

Question. Assertion: The equation of a line parallel to the line ax + by + c = 0 is ax – by – λ = 0, where λ is a constant.
Reason: The equation of a line perpendicular to the line ax + by + c = 0 is bx – ay + λ = 0, where λ is a constant.

Question. Assertion: Slope of the line passing through the points (3, –2) and (3, 4) is 0.
Reason: If two lines having the same slope pass through a common point, then these lines will coincide.

Question. Assertion: Equation of the horizontal line having distance ‘a’ from the x-axis is either y = a or y = –a.
Reason: Equation of the vertical line having distance b from the y-axis is either x = b or x = –b.

Question. Assertion: The equation of the line making intercepts a and b on x and y-axis respectively is x/a + y/b = 1
Reason: The slope of the line ax + by + c = 0 is b/a .

Question. Assertion: Pair of lines x + 2y – 3 = 0 and – 3x – 6y + 9 = 0 are coincident.
Reason: Two lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 are coincident if a₁/a₂ = b₁/b₂ = c₁/c₂ .

Question. Assertion: If Θ is the inclination of a line l, then the slope or gradient of the line l is tan Θ.
Reason: The slope of a line whose inclination is 90°, is not defined.