COORDINATE GEOMETRY Test

COORDINATE GEOMETRY

This is COORDINATE GEOMETRY Test-05 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The area of the quadrilateral formed by the vertices \(({x_1},{y_1})\), \(({x_2},{y_2})\), \(({x_3},{y_3})\) and \(({x_4},{y_4})\)is given by
  • A
    \(\frac{1}{2}\left[ {{x_1}({y_2} + {y_4}) - {x_2}({y_3} + {y_1}) - {x_3}({y_4} + {y_2}) - {x_4}({y_1} + {y_3})} \right]sq.units\)
  • B
    \(\frac{1}{2}\left[ {{x_1}({y_2} - {y_4}) - {x_2}({y_3} - {y_1}) - {x_3}({y_4} - {y_2}) - {x_4}({y_1} - {y_3})} \right]sq.units\)
  • C
    \(\frac{1}{2}\left[ {{x_1}({y_2} - {y_4}) + {x_2}({y_3} - {y_1}) + {x_3}({y_4} - {y_2}) + {x_4}({y_1} - {y_3})} \right]sq.units\)
    Correct
  • D
    \(\frac{1}{2}\left[ {{x_1}({y_2} + {y_4}) + {x_2}({y_3} + {y_1}) + {x_3}({y_4} + {y_2}) + {x_4}({y_1} + {y_3})} \right]sq.units\)
2
If (a, 0) , (0, b) and (x, y) are collinear, then
  • A
    ay + bx = ab
    Correct
  • B
    ax + by = 1
  • C
    ax – by = ab
  • D
    ay – bx = 1
3
The point ( – 3, 5) lies in the ___________ quadrant
  • A
    III
  • B
    II
    Correct
  • C
    I
  • D
    IV
4
If the co – ordinates of a point are (3, – 7), then its ordinate is
  • A
    – 7
    Correct
  • B
    3
  • C
    7
  • D
    – 3
5
If the co – ordinates of a point are ( – 5, 11), then its abscissa is
  • A
    5
  • B
    11
  • C
    – 11
  • D
    – 5
    Correct
6
The abscissa of any point on the y – axis is
  • A
    – 1
  • B
    0
    Correct
  • C
    1
  • D
    y
7
The abscissa of any point on the x – axis is
  • A
    – 1
  • B
    0
    Correct
  • C
    1
  • D
    x
8
The distance of a point from the y – axis is called
  • A
    ordinate
  • B
    none of these
  • C
    origin
  • D
    abscissa
    Correct
9
The distance of a point from the x – axis is called
  • A
    origin
  • B
    abscissa
  • C
    none of these
  • D
    ordinate
    Correct
10
The point of intersection of the x – axis and y – axis is called
  • A
    ordinate
  • B
    none of these
  • C
    abscissa
  • D
    origin
    Correct
11
If the points (6, 1), (8, 2), (9, 4) and (p, 3), taken in order are the vertices of a parallelogram, then the value of ‘p’ is
  • A
    – 7
  • B
    6
  • C
    7
    Correct
  • D
    5
12
Points (1, 0) and ( – 1, 0) lies on
  • A
    y – axis
  • B
    line x + y = 0
  • C
    line x – y =0
  • D
    x – axis
    Correct
13
In the fourth quadrant,
  • A
    x is positive, y is negative
    Correct
  • B
    x is negative, y is positive
  • C
    x is negative, y is negative
  • D
    x is positive, y is positive
14
If the point R(x, y) divides the join of \(P({x_1},{y_1})\) and \(Q({x_2},{y_2})\) internally in the given ratio \({m_1}:{m_2}\), then the co – ordinates of the point R are
  • A
    \(\left( {\frac{{{m_2}{x_1} - {m_1}{x_2}}}{{{m_1} + {m_2}}},\frac{{{m_2}{y_1} - {m_1}{y_2}}}{{{m_1} + {m_2}}}} \right)\)
  • B
    \(\left( {\frac{{{m_2}{x_1} - {m_1}{x_2}}}{{{m_1} - {m_2}}},\frac{{{m_2}{y_1} - {m_1}{y_2}}}{{{m_1} - {m_2}}}} \right)\)
  • C
    \(\left( {\frac{{{m_2}{x_1} + {m_1}{x_2}}}{{{m_1} + {m_2}}},\frac{{{m_2}{y_1} + {m_1}{y_2}}}{{{m_1} + {m_2}}}} \right)\)
    Correct
  • D
    none of these
15
_________ is an algebraic tool for studying the geometry.
  • A
    Trigonometry
  • B
    Statistics
  • C
    none of these
  • D
    Co – ordinate Geometry
    Correct