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 point which divides the joint of ( 1, 2 ) and ( 3,4 ) externally in the ratio 1 : 1 .
  • A
    lies in the \({{\rm{1}}^{{\rm{st}}}}\) quadrant
  • B
    cannot be found
    Correct
  • C
    lies in the \({{\rm{2}}^{{\rm{nd}}}}\) quadrant
  • D
    lies in \({{\rm{3}}^{{\rm{rd}}}}\) quadrant
2
The distance of the point ( x, y ) from the origin is
  • A
    none of these
  • B
    x
  • C
    \(\sqrt {{x^2} + {y^2}} \)
    Correct
  • D
    x + y
3
The distance of the point ( x , y ) from Y axis is
  • A
    \({\text{|x|}}\)
    Correct
  • B
    x
  • C
    \({\text{|y|}}\)
  • D
    y
4
Slope of a line is not defined if the line is
  • A
    parallel to the line x – y
  • B
    parallel to Y axis
    Correct
  • C
    parallel to the line x+y
  • D
    parallel to X axis
5
The distance of the point (\(\alpha {\rm{ }},{\rm{ }}\beta \)) from X axis is
  • A
    \(| \beta |\)
    Correct
  • B
    none of these.
  • C
    \(\alpha \)
  • D
    \(| \alpha |\)
6
The line through the points (a , b) and (- a , - b) passes through the point
  • A
    \(({a^2},ab)\)
    Correct
  • B
    (1 , 1)
  • C
    none of these
  • D
    ( 3a , - 2b )
7
Projection (the foot of perpendicular) from ( x , y ) on the x – axis is
  • A
    ( 0 , y )
  • B
    ( 0 , - y )
  • C
    ( - x , 0 )
  • D
    ( x , 0 )
    Correct
8
The image of the point (\(\alpha {\rm{ }},{\rm{ }}\beta \)) is the line x + y = 0
  • A
    none of these
  • B
    (\(\beta {\rm{ }},{\rm{ }}\alpha \))
  • C
    ( - \(\beta {\rm{ }},{\rm{ }} - {\rm{ }}\alpha \))
    Correct
  • D
    (\(\alpha {\rm{ }},{\rm{ }}\beta \))
9
The distance between the lines 5x – 12y + 65 = 0 and 5x – 12y – 39 = 0
  • A
    2
  • B
    8
    Correct
  • C
    - 2
  • D
    none of these
10
The image of the point (\(\alpha {\rm{ }},{\rm{ }}\beta \)) is the line x = y is
  • A
    (\(\beta {\rm{ }},{\rm{ }}\alpha \))
    Correct
  • B
    ( - \(\beta {\rm{ }},{\rm{ }} - {\rm{ }}\alpha \))
  • C
    ( - \(\alpha {\rm{ }}, - {\rm{ }}\beta \))
  • D
    (\(\alpha {\rm{ }},{\rm{ }}\beta \))
11
The equation \(y - {y_1} = m\left( {x - {x_1}} \right),m \in R,\) represents all lines through the point \(({x_1},{y_1})\) except the line
  • A
    parallel to the line x – y = 0
  • B
    parallel to X axis
  • C
    parallel to Y axis
    Correct
  • D
    none of these
12
Slope of any line parallel yo X axis is
  • A
    0
    Correct
  • B
    none of these
  • C
    1
  • D
    -1
13
The distance between the parallel lines 3x + 4y + 13 = 0 and 3x + 4y – 13 = 0 is
  • A
    26/4
  • B
    26
  • C
    26/3
  • D
    26/5
    Correct
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
    equilateral
  • D
    right angled
15
The lines 2x – 3y = 5 and 6x – 9y – 7 = 0 are
  • A
    none of these
  • B
    perpendicular
  • C
    coincident
  • D
    parallel
    Correct