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 area of the triangle whose sides are along the lines x = 0 , y = 0 and 4x + 5y = 20 is
  • A
    a)10
    Correct
  • B
    1/10
  • C
    none of these
  • D
    20
2
A line is drawn through the points ( 3 , 4 ) and ( 5 , 6 ) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point is
  • A
    - 2
    Correct
  • B
    none of these
  • C
    0
  • D
    1
3
The line x + y – 6 = 0 is the right bisector of the segment [PQ]. If P is the point ( 4, 3 ) , then the point Q is
  • A
    ( 4 , 4 )
  • B
    ( 3, 4 )
  • C
    ( 3 , 3 )
  • D
    ( 3, 2 )
    Correct
4
The acute angle between the lines ax + by + c = 0 and ( a + b )x = ( a – b )y , a \( \ne \)b , is
  • A
    \({60^0}\)
  • B
    \({15^0}\)
  • C
    \({30^0}\)
  • D
    \({45^0}\)
    Correct
5
The lines x + 2y – 3 = 0, 2x + y – 3 = 0 and the line l are concurrent . If the line I passes through the origin, then its equation is
  • A
    x – y = 0
    Correct
  • B
    x + y + 0
  • C
    x + 2y = 0
  • D
    none of these
6
The triangle formed by the lines x + y = 1, 2x + 3y – 6 = 0 and 4x – y + 4 = 0 lies in
  • A
    \({{\rm{4}}^{{\rm{th}}}}\) quadrant
  • B
    \({{\rm{3}}^{{\rm{rd}}}}\) quadrant
  • C
    \({{\rm{2}}^{{\rm{nd}}}}\) quadrant
    Correct
  • D
    \({{\rm{1}}^{{\rm{th}}}}\) quadrant
7
The area of triangle formed by the lines y = x, y = 2x and y = 3x + 4 is
  • A
    9
  • B
    7
  • C
    4
    Correct
  • D
    8
8
If the points representing the complex numbers - 4 +3i , 2 – 3i and 0 + pi are collinear , then the value of p is
  • A
    2
  • B
    1
  • C
    - 1
    Correct
  • D
    none of these
9
The lines ix + my + n = 0 , mx + ny + l = 0 and nx + ly +m = 0 are concurrent if
  • A
    l + m – n = 0
  • B
    l + m + n = 0
    Correct
  • C
    I – m + n = 0
  • D
    l – m – n = 0
10
The equations of the lines through ( - 1 , - 1 ) and making angles of \({45^0}\) with the line x + y = 0 are
  • A
    none of these
  • B
    x + y = 0 , y + 1 = 0
  • C
    x + 1 = 0 , y + 1 = 0
    Correct
  • D
    x – 1 = 0 , y – x = 0
11
Given the 4 lines with equations x + 2y – 3 = 0, 2x + 3y – 4 = 0, 3x + 4y – 5 = 0, 4x + 5y – 6 = 0 , then these lines are
  • A
    none of these
  • B
    concurrent
    Correct
  • C
    the sides of a quadrilateral
  • D
    sides of a parallelogram
12
The locus of the equation xy = 0 is
  • A
    a hyperbola
  • B
    a straight line
  • C
    a pair of perpendicular lines
    Correct
  • D
    none of these
13
The locus of the inequation xy \(≥\) 0 is
  • A
    none of these
  • B
    a pair of straight lines
  • C
    the set of all points either in the 1st quadrant or in the 3rd quadrant including the points on coordinate axis
    Correct
  • D
    a straight line
14
The acute angle between the lines y = 2x and y = - 2x is
  • A
    greater than \({60^0}\)
  • B
    less than \({60^0}\)
    Correct
  • C
    Both are equal
  • D
    none of these.
15
The image of the point ( -1 , 2 ) in the origin is
  • A
    ( 1 , -2 )
    Correct
  • B
    ( -1 , -2 )
  • C
    ( 2 , - 1 )
  • D
    none of these