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Punjab (PTB) · Chapter test · Free

9th Class Mathematics Chapter 7 TestUNIT 7: Coordinate Geometry

30 marks · 40 minutes · 21 questions. Covers: UNIT 7: Coordinate Geometry.

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9th Class Mathematics Chapter 7 Test

9th Class · Mathematics · Punjab (PTB)

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

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

  1. A line passing through points (1,2) and (4,5) is:

    1. y = x + 1

    2. y = 2x + 3

    3. y = 3x - 2

    4. y = x + 2

  2. The equation of a line with x-intercept 3 and y-intercept 4 is:

  3. The mid point of a journey from to is:

  4. The gradients of two parallel lines are:

    1. Equal

    2. Zero

    3. Negative reciprocals of each other

    4. Always undefined

  5. The midpoint of the line segment joining (1, 2) and (5, 8) is: 

    1. (3, 5)

    2. (4, 5)

    3. (3, 4)

    4. (4,6)

  6. The equation of a vertical line passing through (5, 6) is: 

    1. y = 5

    2. y = 6

    3. x = 5

    4. x = 6

  7. The points laying on Ox is: 

    1. None of these 

  8. The equation of a line parallel to y = 2x + 3 and passing through (1, 1) is: 

  9. The midpoint of a line segment with endpoints (-2,4) and (6,-2) is:

    1. (4,2)

    2. (2,1)

    3. (1,1)

    4. (0,0)

  10. The inclination of a line with slope 1 is: 

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

  1. In a landscaping project, the path starts at (2,3) and ends at (10,7). Find the midpoint.

  2. The points and are ends of a diameter of a circle. Find the centre and radius of the circle.

  3. Find an equation of the line through the point P(2,3) which form an isosceles triangle with the coordinates axes in the first quadrant.

  4. Describe the location in the plane of the point , for which:

  5. Find an equation of the line through and perpendicular to a line having slope .

  6. Find the midpoint of the line segment joining the points  and .

  7. Describe the location in the plane of the point , for which:

  8. On a map town A is at coordinates (2,3) and Town B is at, what is the distance between the two towns?

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

  1. A drone is flying from point (2,3) to point (10,15) on the grid. Calculate the gradient of the line along which the drone is flying and the total distance travelled.

  2. Two pairs of points are given. Find whether the two lines determined by these points are: (i) parallel (ii) Perpendicular (iii) None.  and 

  3. Find K so that the joining and the line joining are: Parallel