If , where (area of triangle joining points , and such that angle is a right angle) =…

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

If f:R→N∪{0}f: R \rightarrow N \cup \{0\} , where ff (area of triangle joining points P(5,0)P(5,0) , Q(8,4)Q(8,4) and R(x,y)R(x,y) such that angle PQRPQR is a right angle) = number of triangles, then which of the following is true? (A) f(5)=4f(5) = 4 (B) f(7)=0f(7) = 0 (C) f(6.25)=2f(6.25) = 2 (D) f(4.5)=4f(4.5) = 4

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