# NCERT Mathematics Class 9 Exemplar Ch 9 Areas of Parallelograms and Triangles Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Exercise 9.3**

Q. 1. In Fig, PSDA is a parallelogram. Points Q and R are taken on PS such that and . Prove that

Q. 2. X and Y are points on the side LN of the triangle LMN such that Through X, a line is drawn parallel to LM to meet MN at Z (See Fig.) . Prove that ar

Q. 3. The area of the parallelogram ABCD is (see Fig.) . Find

(i) ar (ABEF)

(ii) ar (ABD)

(iii) ar (BEF)

Answer: (i)

(ii)

(iii)

Q. 4. In ∆ ABC, D is the mid-point of AB and P is any point on BC. If meets AB in Q (Fig) , then prove that ar