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### IIT-JEE 1980

Fill in the Blanks
$$ABC$$ is a triangle, $$P$$ is a point on $$AB$$, and $$Q$$ is point on $$AC$$ such that $$\angle AQP = \angle ABC$$. Complete the relation $${{area\,\,of\,\,\Delta APQ} \over {area\,\,of\,\,\Delta ABC}} = {{\left( {...} \right)} \over {A{C^2}}}$$$## Answer $$A{P^2}$$ 2 ### IIT-JEE 1980 Fill in the Blanks $$ABC$$ is a triangle with $$\angle B$$ greater than $$\angle C.\,D$$ and $$E$$ are points on $$BC$$ such that $$AD$$ is perpendicular to $$BC$$ and $$AE$$ is the bisector of angle $$A$$. Complete the relation $$\angle DAE = {1 \over 2}\left[ {\left( {} \right) - \angle C} \right]$$$

$${\angle B}$$

### Joint Entrance Examination

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NEET

Class 12