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Question

Mathematics Question on Triangles

Area of a triangle formed by the line xcos⁡α+ysin⁡α=px \cos \alpha + y \sin \alpha = p with the coordinate axes is

A

p22sin⁡αcos⁡α\frac{p^2}{2 \sin \alpha \cos \alpha}

B

p2sin⁡αcos⁡α\frac{p^2}{ \sin \alpha \cos \alpha}

C

p2sin⁡αcos⁡α\frac{p}{2 \sin \alpha \cos \alpha}

D

psin⁡αcos⁡α\frac{p}{ \sin \alpha \cos \alpha}

Answer

p22sin⁡αcos⁡α\frac{p^2}{2 \sin \alpha \cos \alpha}

Explanation

Solution

The correct option is (A): p22sin⁡αcos⁡α\frac{p^2}{2 \sin \alpha \cos \alpha}