A. The diagonal BD of a parallelogram ABCD intersects the line segment AE at the…

MATHEMATICS · Subjective · ICSE · Mathematics · Geometry · Geometry

Problem

33. a. The diagonal BD of a parallelogram ABCD intersects the line segment AE at the point F, where E is any point on the side BC. Prove that DF×EF=FB×FADF \times EF = FB \times FA. b. OR In △ABC\triangle ABC, if AD⊥BCAD \perp BC and AD2=BD×DCAD^2 = BD \times DC, then prove that ∠BAC=90∘\angle BAC = 90^\circ.

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