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

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Questions
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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