COORDINATE GEOMETRY Test

COORDINATE GEOMETRY

This is COORDINATE GEOMETRY Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If A and B are the points ( – 6, 7) and ( – 1, – 5) respectively, then the distance 2AB is equal to 26 units 13 units 15 units 20 units 2AB = \(2\sqrt {{{\left( { - 1 + 6} \right)}^2} + {{\left( { - 5 - 7} \right)}^2}} \) = \(2\sqrt {25 + 144} \) = \(2\sqrt {169} \) = 26 units
  • A
    26 units
    Correct
  • B
    13 units
  • C
    15 units
  • D
    20 units
2
If P(x, y) is any point on the line joining the points A(a, 0) and B(0, b), then
  • A
    \(\frac{x}{a} - \frac{y}{b} = 0\)
  • B
    \(\frac{x}{a} + \frac{y}{b} = 1\)
    Correct
  • C
    \(\frac{x}{a} - \frac{y}{b} = 1\)
  • D
    \(\frac{x}{a} + \frac{y}{b} = 0\)
3
The vertices of a quadrilateral are (1, 7), (4, 2), ( – 1, – 1) and ( – 4, 4). The quadrilateral is a
  • A
    parallelogram
  • B
    square
    Correct
  • C
    none of these
  • D
    rectangle
4
If A is point on the x – axis whose abscissa is 5 and B is the point (1, – 3), then the distance AB is
  • A
    8 units
  • B
    5 units
    Correct
  • C
    9 units
  • D
    25 units
5
The distance of the point ( – 5, 12) from the y – axis is
  • A
    13 units
  • B
    5 units
    Correct
  • C
    – 5 units
  • D
    12 units
6
If one end of a diameter of a circle is (4, 6) and the centre is ( – 4, 7), then the other end is
  • A
    (8, – 12)
  • B
    (8, – 6)
  • C
    (8, 10)
  • D
    ( – 12, 8)
    Correct
7
The distance between the points (a, b) and ( – a, – b) is
  • A
    \(2b\)
  • B
    2a
  • C
    \(\sqrt 2 a\)
  • D
    \(2\sqrt {{a^2} + {b^2}} \)
    Correct
8
The points A( – 1, 0), B(3, 1), C(2, 2) and D( – 2, 1) are the vertices of a
  • A
    none of these
  • B
    Square
  • C
    Rectangle
  • D
    Parallelogram
    Correct
9
The points A(1, 2), B(5, 4), C(3, 8) and D( – 1, 6) are the vertices of a
  • A
    Rectangle
  • B
    Parallelogram
  • C
    Square
    Correct
  • D
    Rhombus
10
The points A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a
  • A
    Square
  • B
    Rhombus
    Correct
  • C
    Rectangle
  • D
    Parallelogram
11
The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
  • A
    9 units
  • B
    15 units
  • C
    10 units
  • D
    12 units
    Correct
12
AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is
Question 12 figure 1
  • A
    \(\sqrt {34} \) units
    Correct
  • B
    \(2\sqrt {34} \) units
  • C
    3 units
  • D
    4 units
13
(0, 3), (4, 0) and ( – 4, 0) are the vertices of
  • A
    a right triangle
  • B
    an equilateral triangle
  • C
    a scalene triangle
  • D
    an isosceles triangle
    Correct
14
Radius of circumcircle of a triangle ABC is \(5\sqrt {10} \) units. If point P is equidistant from A (1, 3), B\(\left( { - 3,5} \right)\) and C\(\left( {5, - 1} \right),\) then AP =
  • A
    25 units
  • B
    5 units
  • C
    \(5\sqrt {10} \) units
    Correct
  • D
    \(5\sqrt 5 \) units
15
The co – ordinates of the point which is equidistant from the three vertices of a \(\Delta AOB\) with vertices A(0, 2y), B(2x, 0) and O(0, 0) is
  • A
    (x, y)
    Correct
  • B
    (y, x)
  • C
    (0, 0)
  • D
    \(\left( {\frac{x}{2},\frac{y}{2}} \right)\)