COORDINATE GEOMETRY Test

COORDINATE GEOMETRY

This is COORDINATE GEOMETRY Test-01 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The distance of the point ( – 3, 4) from the origin is
  • A
    7 units
  • B
    25 units
  • C
    1 unit
  • D
    5 units
    Correct
2
The distance between the points ( – 1, – 5) and ( – 6, 7) is
  • A
    13 units
    Correct
  • B
    144 units
  • C
    12 units
  • D
    169 units
3
The distance between the points (a, b) and ( – a, b) is
  • A
    \(2b\)
  • B
    \(2\sqrt {{a^2} + {b^2}} \)
  • C
    \(\sqrt 2 a\)
  • D
    2a units
    Correct
4
If the distance between the points (p, – 5) and (2, 7) is 13 units, then the value of ‘p’ is
  • A
    – 3, 7
    Correct
  • B
    3, 7
  • C
    3, – 7
  • D
    – 3, – 7
5
The distance between the points \(({x_1},{y_1})\) and \(({x_2},{y_2})\) is given by
  • A
    \(\sqrt {{{({x_2} - {x_1})}^2} - {{({y_2} - {y_1})}^2}} \)units
  • B
    \(\sqrt {{{({x_2} + {x_1})}^2} + {{({y_2} + {y_1})}^2}} \)units
  • C
    \(\sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \)units
    Correct
  • D
    \(\sqrt {{{({x_2} + {x_1})}^2} - {{({y_2} + {y_1})}^2}} \)units
6
The distance of the point P(x, y) from the origin O(0, 0) is given by
  • A
    \(\sqrt {({x^2} - {y^2})} \)units
  • B
    \(\sqrt {{{(x + y)}^2}} \)units
  • C
    \(\sqrt {{{(x - y)}^2}} \)units
  • D
    \(\sqrt {({x^2} + {y^2})} \)units
    Correct
7
The values of ‘y’ for which the distance between the points (2, – 3) and (10, y) is 10 units is
  • A
    – 3, 9
  • B
    – 3, – 9
  • C
    3, – 9
    Correct
  • D
    3, 9
8
The point on the x – axis which is equidistant from the points (2, – 5) and ( – 2, 9) is
  • A
    (0, 7)
  • B
    ( – 7, 0)
    Correct
  • C
    (0, – 7)
  • D
    (7, 0)
9
The point on the y – axis which is equidistant from the points (6, 5) and ( – 4, 3) is
  • A
    (9, 0)
  • B
    ( – 9, 0)
  • C
    (0, – 9)
  • D
    (0, 9)
    Correct
10
The value of ‘k’, if the point (0, 2) is equidistant from the points (3, k) and (k, 5) is
  • A
    0
  • B
    – 1
  • C
    1
    Correct
  • D
    2
11
If the point (x, y) is equidistant from the points (5, 1) and ( – 1, 5), then the relation between ‘x’ and ‘y’ is given by
  • A
    3x = – 2y
  • B
    – 2x = 3y
  • C
    2x = 3y
  • D
    3x = 2y
    Correct
12
If the point P(2, 4) lies on a circle, whose centre is C(5, 8), then the radius of the circle is
  • A
    4 units
  • B
    5 units
    Correct
  • C
    8 units
  • D
    25 units
13
A circle has its centre at the origin and a point P(5, 0) lies on it. Then the point Q(8, 6) lies ________ the circle.
  • A
    on
  • B
    in side
  • C
    none of these
  • D
    out side
    Correct
14
The vertices of a square are (0, – 1), (2, 1), (0, 3) and ( – 2, 1). The side of the square is
  • A
    \(2\) units
  • B
    \(2\sqrt 3 \) units
  • C
    \(\sqrt 2 \) units
  • D
    \(2\sqrt 2 \) units
    Correct
15
The triangle whose vertices are ( – 3, 0), (1, – 3) and (4, 1) is _____________ triangle.
  • A
    right angled isosceles
    Correct
  • B
    equilateral
  • C
    scalene
  • D
    none of these