Mathematics Exam – Coordinate Geometry

Mathematics Examination

Coordinate Geometry – Unit #7 | Class 9th (SNC)

Unit #7: Coordinate Geometry

MATHEMATICS EXAMINATION PAPER

Subject: Mathematics (SNC) – Coordinate Geometry
Class: 9th
Date: ______________
Time Allowed: ______________
Total Marks: ______________
Candidate Name:
Roll Number:
Marks Obtained:

Q1. Choose the correct option. (10 × 1 = 10 marks)

Q2. Write down short answers of following questions. (15 × 2 = 30 marks)

1Describe the location in the plane of the point P(x,y), for which: x > 0 and y ≤ 0

2Find the midpoint of the line segment joining the two points: A(-8, 3), B(2, -1)

3Find the slope and inclination of line joining the points: (-2,4); (5,11)

4Find the slope and inclination of line joining the points: (4,6); (4,8)

5Find an equation of: the vertical line through (-5, 3)

6Find an equation of: through (-8, 5) having slope undefined

7Find an equation of: through (-5, -3) and (9, -1)

8Define Coordinate Plane. Also give example.

9Find the distance between the points: (i) A(5,6), B(5,-2) (ii) C(-4,-2), D(0,9)

10The point C(-5,3) is the centre of a circle and P(7,-2) lies on the circle. What is the radius of the circle?

11The points A(-5,-2) and B(5,-4) are ends of a diameter of a circle. Find the centre and radius of the circle.

12Find distance between L(0,3) and M(-2,-4).

13Write Intercept Form of linear equation.

14Find the slope of the line joining the points (4,6) and (4,8).

15Check whether the following lines are parallel, perpendicular or neither: \(2x + y – 3 = 0\) ; \(4x + 2y + 5 = 0\)

Q3. Write detailed answers of the following questions. (Answer any 2) (2 × 10 = 20 marks)

1. Show that the points A(0,2), B(√3,1) and C(0,-2) are vertices of a right triangle.

2. Using slopes, show that the triangle with its vertices A(6,1), B(2,7) and C(-6,-7) is a right triangle.

3. Find an equation of the line through (11, -5) and parallel to a line with slope -24.