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

(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

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(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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