Straight Lines CBSE Questions & Answers

Straight Lines

This is Mathematics Class 11 Straight Lines CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The equation of the line which passes through the point ( 1 , - 2 ) and cuts off equal intercepts from the axis is
  • A
    x + y = 1
  • B
    x – y – 2 = 0
  • C
    x + y + 1 = 0
    Correct
  • D
    x – y - 1 = 0
2
If a line is drawn through the origin and parallel to the line x – 2y + 5 = 0 , its equation is
  • A
    x – 2y – 5 = 0
  • B
    none of these
  • C
    2x + y = 0
  • D
    x = 2y
    Correct
3
The line passing through ( 1, 1 ) and parallel to the line 2x – 3y + 5 = 0 is
  • A
    3x + 2y = 5
  • B
    2x + 3y = 5
  • C
    3x – 2y = 1
  • D
    2x – 3y + 1= 0
    Correct
4
The equation of the line which passes through the point ( 2 , - 3 ) and cuts off equal intercepts from the axis is
  • A
    x – y – 2 = 0
  • B
    x + y = 1
  • C
    x + y + 1 = 0
    Correct
  • D
    x – y = 1
5
The straight lines x + y - 4 = 0 , 3x + y – 4 = 0 , x + 3y – 4 = 0 form a triangle which is
  • A
    right angled triangle
  • B
    none of these
  • C
    obtuse angled triangle
    Correct
  • D
    equilateral
6
The distance between the parallel lines 4x + 3y + 11 = 0 and 8x + 6y = 15 is
  • A
    none of these
  • B
    7/10
    Correct
  • C
    4
  • D
    7/2
7
The line which passes through the point ( 0 , 1 ) and perpendicular to the line x – 2y + 11 = 0 is
  • A
    2x + y – 1 = 0
    Correct
  • B
    2x – y + 1 = 0
  • C
    2x – y + 3 = 0
  • D
    none of these
8
Thee perpendicular distance of the origin from the line 3x +4y + 1 = 0 is
  • A
    1/2
  • B
    1
  • C
    1/5
    Correct
  • D
    none of these
9
The acute angle between the lines x – y = 0 and y = 0 is
  • A
    \({75^0}\)
  • B
    \({60^0}\)
  • C
    \({45^0}\)
    Correct
  • D
    \({30^0}\)
10
The vertices of a triangle are ( 0 , 3 ) , ( - 3 , 0 ) and ( 3 , 0 ) . The orthocenter of the triangle is
  • A
    ( - 3 , 0 )
  • B
    ( 3 , 0 )
  • C
    none of these.
  • D
    ( 0 , 3 )
    Correct
11
The lines x + ( k – 1) y + 1 = 0 and \(2x + {k^2}y - 1 = 0\) are at right angles if
  • A
    k = 1
  • B
    k = - 1
    Correct
  • C
    none of these
  • D
    k > 1
12
A line is equally inclined to the axis and the length of perpendicular from the origin upon the line is \(\sqrt 2 \). A possible equation of the line is
  • A
    y = x + 1
  • B
    y = \(\sqrt 2 \) x + 2 .
  • C
    x + y = 2
    Correct
  • D
    y = x + \(\sqrt 2 \) .
13
The lines y = mx , y + 2x = 0 , y = 2x + \(\lambda \) and y = - mx + \(\lambda \) form a rhombus if m =
  • A
    1
  • B
    - 1
  • C
    none of these
  • D
    2
    Correct
14
Two points ( a , 0 ) and ( 0 , b ) are joined by a straight line. Another point on this line is
  • A
    none of these
  • B
    ( a , - 2b )
  • C
    ( - 3a , 2b )
  • D
    ( 3a , - 2b)
    Correct
15
The coordinates of the foot of perpendicular from ( 0 , 0 ) upon the line x + y = 2 are
  • A
    ( 1, 2 )
  • B
    ( - 1 , 2 )
  • C
    ( 1, 1 )
    Correct
  • D
    none of these