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NCERT Solutions for class 11 Maths | Chapter 10 - Straight Lines

Free download in PDF Class 11 Maths Chapter 10 Straight Lines Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>

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(1) The points (– 1, 1) and ( 1, – 1) are symmetrical about the line
[A] y +x =0
[B] y =x
[C] x +y =1
[D] None of these
Answer: y =x
(2) Two opposite vertices of a rectangle are ( 1 , 3 ) , ( 5 , 1 ) . If the equation of a diagonal of this rectangle is y = 2x + c , then the value of c is
[A] -4
[B] -9
[C] 1
[D] 2
Answer: -4
(3) Two lines are parallel if
[A] m1 * m2 = -1
[B] m1 * m2 = 1
[C] m1 = m2
[D] None of these
Answer: m1 = m2
(4) The equation of staright 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
Answer: x + y = 5
(5) The equation of the line through the points (1, 5) and (2, 3) is
[A] 2x - y - 7 = 0
[B] 2x + y + 7 = 0
[C] 2x + y - 7 = 0
[D] x + 2y - 7 = 0
Answer: 2x + y - 7 = 0
(6) The slope of a line which passes through points (3, 2) and (-1, 5) is
[A] 3/4
[B] -3/4
[C] 4/3
[D] -4/3
Answer: -3/4
(7) The equation of a line drawn perpendicular to the line x/4 + y/6 = 1 through the point, where it meets the y-axis is
[A] 2x + 3y + 18 = 0
[B] 2x - 3y - 18 = 0
[C] 2x - 3y + 18 = 0
[D] None of these
Answer: 2x - 3y + 18 = 0
(8) What can be said regarding if a line if its slope is zero
[A] θ is an acute angle
[B] θ is an obtuse angle
[C] Either the line is x-axis or it is parallel to the x-axis.
[D] None of these
Answer: Either the line is x-axis or it is parallel to the x-axis.
(9) What can be said regarding if a line if its slope is negative
[A] θ is an acute angle
[B] θ is an obtuse angle
[C] Either the line is x-axis or it is parallel to the x-axis.
[D] None of these
Answer: θ is an obtuse angle
(10) The area of the triangle formed by the lines y - x = 0, x + y = 0 and x - k = 0 is
[A] k
[B] k2
[C] k3
[D] k/2
Answer: k2
(11) The locus of a point, whose abscissa and ordinate are always equal is
[A] x + y + 1 = 0
[B] x – y = 0
[C] x + y = 1
[D] none of these.
Answer: x – y = 0
(12) x-intercept of the line 4x - 3y + 15 = 0 is
[A] -15/4
[B] 15/4
[C] 5
[D] -5
Answer: -15/4
(13) Slope intecept form of staright line is
[A] y = x + mb
[B] x = my + b
[C] my = x + b
[D] y = mx + b
Answer: y = mx + b
(14) The distance between the two parallel lines 2x + y - 5 = 0 and 2x + y + 10 = 0 is
[A] √5
[B] 3√5
[C] 3√5
[D] 4√5
Answer: 3√5
(15) Given the three straight lines with equations 5x + 4y = 0, x + 2y – 10 = 0 and 2x + y + 5 = 0, then these lines are
[A] the sides of a right angled triangle
[B] the sides of an equilateral triangle
[C] concurrent
[D] none of these
Answer: concurrent
(16) 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
Answer: 4/3
(17) The point on the axis of y which is equidistant from ( - 1 , 2 ) and ( 3 , 4 ) is
[A] ( 0 , 5 )
[B] ( 0 , 4 )
[C] ( 5 , 0 )
[D] none of these
Answer: ( 0 , 5 )
(18) Equation of the line passing through (0, 0) and slope m is
[A] y = mx + c
[B] x = my + c
[C] y = mx
[D] x = my
Answer: y = mx
(19) What can be said regarding if a line if its slope is positive
[A] θ is an acute angle
[B] θ is an obtuse angle
[C] Either the line is x-axis or it is parallel to the x-axis.
[D] None of these
Answer: θ is an acute angle
(20) The ortho centre of the triangle formed by lines xy = 0 and x + y = 1 is :
[A] ( 0 , 0 )
[B] none of these
[C] ( 1/2 , 1/2)
[D] ( 1/3 ,1/3 )
Answer: ( 0 , 0 )

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