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
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
    2
  • B
    - 4
    Correct
  • C
    1
  • D
    -9
2
The sum of all the two-digit numbers is
  • A
    4895
  • B
    4905
    Correct
  • C
    1605
  • D
    none of these
3
The points ( - a , - b ) , ( 0 , 0 ) , ( a , b ) and \(({a^2},ab)\) are
  • A
    vertices of a rectangle
  • B
    vertices of a square
  • C
    collinear
    Correct
  • D
    vertices of a parallelogram
4
The distance between the lines 3x + 4y = 9 and 6x + 8y = 15 is
  • A
    2/3
  • B
    3/10
    Correct
  • C
    7/10
  • D
    3/2
5
The locus of a point, whose abscissa and ordinate are always equal is
  • A
    x – y = 0
    Correct
  • B
    x + y + 1 = 0
  • C
    x + y = 1
  • D
    none of these.
6
The ortho centre of the triangle formed by lines xy = 0 and x + y = 1 is :
  • A
    none of these
  • B
    ( 1/3 ,1/3 )
  • C
    ( 0 , 0 )
    Correct
  • D
    ( 1/2 , 1/2)
7
The straight line 3x + 4y = 9 divides the line segment joining the points ( 1, 3 ) and (2, 7) in the ratio
  • A
    it is 4 : 5
  • B
    it is 4 : 2
  • C
    it is 3 : 4
    Correct
  • D
    none of these
8
In a \(\Delta ABC,\) if A is the point ( 1, 2 ) and equations of the median through B and C are respectively x + y = 5 and x = 4 , then B is
  • A
    ( 7 , - 2 )
    Correct
  • B
    ( 1 , 4 )
  • C
    ( 4 , 1 )
  • D
    none of these
9
The ratio of the \({{\rm{7}}^{{\rm{th}}}}\) to the ( n –1)th mean between 1 and 31, when n arithmetic means are inserted between them, is 5 : 9. The value of n is
  • A
    13
  • B
    14
    Correct
  • C
    12
  • D
    15
10
The point on the axis of y which is equidistant from ( - 1 , 2 ) and ( 3 , 4 ) is
  • A
    ( 0 , 5 )
    Correct
  • B
    ( 5 , 0 )
  • C
    none of these
  • D
    ( 0 , 4 )
11
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
    concurrent
    Correct
  • C
    none of these
  • D
    the sides of an equilateral triangle
12
If 2p is the perpendicular distance from the origin to the line
  • A
    A.P.
  • B
    G.P.
  • C
    H. P.
    Correct
  • D
    none of these
13
The angle between the two straight lines \(6{y^2} - xy - {x^2} + 30y + 36 = 0\) is
  • A
    none of these
  • B
    \({30^0}\)
  • C
    \({60^0}\)
  • D
    \({45^0}\)
    Correct
14
Area of a triangle is 5 units. Its two vertices are (2, 1) and (3, - 2). Third vertex is on the line y = x + 3. The coordinates of that vertex are
  • A
    ( 8 , 14 )
  • B
    ( 7/2 ,13/2 )
    Correct
  • C
    ( 8/3 , 5/3 )
  • D
    none of these
15
The foot of the perpendicular from (2, 3) on the line 3x + 4y – 6 = 0 is
  • A
    \(({{14} \over {25}}, - {{27} \over {25}})\)
  • B
    \(( - {{14} \over {25}},{{29} \over {25}})\)
  • C
    \(( - {{14} \over {25}}, - {{27} \over {25}})\)
  • D
    \(({{14} \over {25}},{{27} \over {25}})\)
    Correct