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Federal (FBISE) · Chapter test · Free

9th Class Mathematics Chapter 7 Test07. Coordinate Geometry

30 marks · 40 minutes · 21 questions. Covers: 07. Coordinate Geometry.

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9th Class Mathematics Chapter 7 Test

9th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. Mid-point of ( c , d ) and ( - d , c ) is.
    1. (c−d2,c+d2)\left(\frac{c-d}{2},\frac{c+d}{2}\right)
    2. (−c−d2,d−c2)\left(\frac{-c-d}{2},\frac{d-c}{2}\right)
    3. (−d+c2,c−d2)\left(\frac{-d+c}{2},\frac{c-d}{2}\right)
    4. ( c - d , - d + c )
  2. ( 5 , 2 ) , ( 7 , 0 ) , ( 1 , - 2 ) and ( -1 , 0 ) are the vertices of a
    1. parallelogram
    2. square
    3. trapezium
    4. kite
  3. The mid point of the hypotenuse of a right triangle with vertices ( 4 , 0 ) , ( 2 , 1 ) and ( - 1 , - 5 ) is.
    1. (2,12) \left(2,\frac{1}{2}\right)
    2. (12,−2)\left(\frac{1}{2},-2\right)
    3. (32,−52)\left(\frac{3}{2},-\frac{5}{2}\right)
    4. (32,52) \left(\frac{3}{2},\frac{5}{2}\right)
  4. If AB + BC = AC, then points A, B and C are:
    1. Non-collinear
    2. Collinear with B between A and C
    3. Vertices of a square
    4. Vertices of a circle
  5. If all four sides of a quadrilateral are equal and its diagonals bisect each other at right angles, it can be a:
    1. Rectangle only
    2. Rhombus
    3. Trapezium
    4. Scalene triangle
  6. If P ( 2 , 3 ) is the mid point of A ( x , 4 ) and B ( - 3 , y ), then the coordinates of ( x , y ) are.
    1. (−12,3+b2)\left(\frac{-1}{2},\frac{3+b}{2}\right)
    2. ( 5 , - 1 )
    3. (x−32,y+42)\left(\frac{x-3}{2},\frac{y+4}{2}\right)
    4. ( 7 , 2 )
  7. If two points have the same y-coordinate, the distance between them is the absolute difference of their:
    1. y-coordinates
    2. x-coordinates
    3. products
    4. slopes
  8. The below figure is a kite, what will be the coordinates of the point of intersection of both diagonals?
    1. ( 0 , 2 )
    2. (212,0)({2}\frac{1}{2},0)
    3. ( 0 , 0 )
    4. ( 2 , 0 )
  9. A point P ( x , y ) is at equal distance from both the axes and lies in the third quadrant. If it is at a distance of 4 units from y-axis, then its coordinates are.
    1. ( - 4 , 4 )
    2. ( 4 , - 4 )
    3. ( 4 , 4 )
    4. ( - 4 , - 4 )
  10. Three points lying on the same straight line are called:
    1. Concurrent
    2. Collinear
    3. Parallel
    4. Perpendicular

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Find the distance between pair of points. (12,2) and (−2,1)(\frac{1}{2},2) \text { and }( -2 , 1 )
  2. In which quadrant does the point ( - 4 , - ( - 6 ) ) lie?
  3. If two line bisect each other . What will be their midpoints ?
  4. Write few uses of distance formula.
  5. Find the distance between pair of points. ( 0 , -5 ) and ( -2 , 1 )
  6. What is the midpoint formula?
  7. If two ordered pairs (4,5) and (a+12,b−3)(4,5)\text { and } ( \frac{a+1}{2}, b-3) are equal then find a and b.
  8. A, B, C, D, E and F have coordinates -6, -4, -2, 0, 2 and 5 respectively on a coordinate line as shown . Find d ( A , C )Question diagram

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Check by distance formula whether these points are collinear or not.( 1 , -2 ) , ( 7 , 8 ) and ( -2 , -7 )
  2. Hassan and Ali participated in a race competition. They both have to start running from different points on coordinate axes at a distance of 6 units from origin but they must reach at the same target point C, after covering an equal distance. If Hassan starting point is on x-axis and Ali's starting point is on y-axis as shown in the figure, then find the coordinates of the target point C.Question diagram
  3. Look at the ABC in the adjoining figure. Find the coordinates of the mid points D and E of AB and AC respectively.Question diagram