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 orthogonal projection of the point ( 2 , - 3 ) on the line x + y = 0 is
  • A
    ( 2 , 3 )
  • B
    ( 5/2 , - 5/2 )
    Correct
  • C
    ( -2 , -3 )
  • D
    ( 2 , - 3 )
2
Three points A , B and C are collinear if the area of triangle ABC is
  • A
    greater than zero
  • B
    less than zero
  • C
    zero
    Correct
  • D
    none of these
3
The lines 8x + 4y = 1, 8x + 4y = 5, 4x + 8y = 3, 4x + 8y = 7 form a
  • A
    rhombus
    Correct
  • B
    None of these
  • C
    Square
  • D
    Rectangle
4
The number of points on X axis which are at a distance of c units ( c \(<\) 3 ) from ( 2 , 3 ) is
  • A
    3
  • B
    1
  • C
    0
    Correct
  • D
    2
5
If ( x , y ) are the coordinates of point in the plane , then \(\left| {\begin{array}{*{20}{c}} 3&4&2 \\ 5&8&2 \\ x&y&2 \end{array}} \right| = 0\) represents
  • A
    a circle
  • B
    none of these
  • C
    a straight line parallel to x axis
  • D
    a straight line
    Correct
6
The equations of the lines through ( 1 , 1 ) and making angles of \({45^0}\) with the line x + y = 0
  • A
    x – 1 = 0 , y – 1 = 0
    Correct
  • B
    none of these
  • C
    x – 1 = 0 , x – y = 0
  • D
    x – y = 0 , y – 1 = 0
7
The number of lines that are parallel to 2x + 6y – 7 = 0 and have an intercept 10 units between the coordinate axis is :
  • A
    2
    Correct
  • B
    4
  • C
    none of these
  • D
    1
8
The line ( p + 2q ) x + ( p – 3q ) y = p - q for different values of p and q passes through the fixed point
  • A
    (2/5 , 2/5 )
  • B
    ( 2/5 , 3/5 )
    Correct
  • C
    ( 3/2 , 5/2 )
  • D
    (3/5 , 3/5 )
9
The area of the quadrilateral formed by the lines \({\text{| x | }} + {\text{ | y | }} = {\text{ 1}}\) is
  • A
    4
  • B
    2
    Correct
  • C
    8
  • D
    none of these
10
If a , b , c are in A . P. then straight line ax + by + c = 0 will always pass through a fixed point whose coordinates are
  • A
    ( 1 , 2 )
  • B
    ( - 1 , - 2 )
  • C
    ( 1 , - 2 )
    Correct
  • D
    none of these
11
The line segment joining the points ( 1 , 2 ) and ( - 2 , 1) is divided by the line 3x + 4y = 7 in the ratio
  • A
    it is 4:3
  • B
    it is 9:4
  • C
    it is 4:9
    Correct
  • D
    it is 3:4
12
A line L passes through the points ( 1 , 1 ) and ( 2 , 0 ) and another line M which is perpendicular to L passes through the point ( 1/2 , 0 ) . The area of the triangle formed by these lines with y axis is :
  • A
    25/16
    Correct
  • B
    none of these
  • C
    25/8
  • D
    25/4
13
The medians AD and BE of a triangle with vertices A ( 0 , b ) , B ( 0, 0 ) and C ( a , 0 )are perpendicular to each other if
  • A
    \(b = \pm \sqrt 2 a\)
  • B
    \(a = \sqrt { - 2} b\)
  • C
    \(a = \pm \sqrt 2 b\)
    Correct
  • D
    none of these
14
The straight lines x + y = 0 , 3x + y – 4 = 0 , x + 3y – 4 = 0 form a triangle which is
  • A
    isosceles
    Correct
  • B
    none of these
  • C
    right angled
  • D
    equilateral
15
The line which is parallel to X axis and crosses the curve y = \(\sqrt x \) at an angle of \({45^0}\) is:
  • A
    y = 1
  • B
    y = 1/2
    Correct
  • C
    y = \({1 \over 4}\)
  • D
    none of these