CBSE Class 10 Mathematics Coordinate Geometry Assignment Set 15

Fill The Gap

Considering the above diagram, fill the following gaps.

Diagram Details:
- Point \( A(0, 3) \) is on the y-axis.
- Point \( B(-3, 0) \) is on the negative x-axis.
- Point \( C(3, 0) \) is on the positive x-axis.
- Point \( O(0, 0) \) is the origin.
- Point \( D \) is the midpoint of segment \( AC \).
- Point \( E \) is the midpoint of segment \( AB \).
- Point \( G \) lies on the segment \( AO \), dividing it in the ratio \( 2:1 \).

Question. The Co-ordinate (in general) of any point on X-axis is __________
Answer: \( (x, 0) \)

Question. The Co-ordinate (in general) of any point on Y-axis is __________
Answer: \( (0, y) \)

Question. The Co-ordinate of origion is __________
Answer: \( (0, 0) \)

Question. The distance BC is __________
Answer: 6 Units

Question. The Co-ordinate of mid point D is __________
Answer: \( (\frac{3}{2}, \frac{3}{2}) \)

Question. If G divides AO in the ratio 2:1, the Co-ordinate of G is __________
Answer: \( G(0, 1) \)

Question. By using distance formula, state the type of triangle __________
Answer: Isosceles

Question. The Co-ordinate of Centroid is __________
Answer: \( G(0, 1) \)

Question. The area of triangle ABC is __________
Answer: 9 sq. Units

Question. If O, D, E are mid points of sides BC, CA and AB, the area of \( \Delta ODE \) is __________
Answer: \( \frac{9}{4} \) sq. Units

Question. The ratio of \( ar(\Delta ODE) \) to \( ar(\Delta ABC) \) is __________
Answer: 1 : 4

Question. Y-axis divides BC in the ratio __________
Answer: 1 : 1

Question. The area of parallelogram BODE is __________
Answer: \( \frac{9}{2} \) sq. Units

Question. G divides BD in the ratio __________
Answer: 2 : 1

Question. The area of BOC is __________
Answer: 0