If P and Q are two points on the line 4x + 3y + 30 = 0 such that OP = OQ = 10, where O is the origin, then the area of the ∆OPQ is

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none of these

answer is A.

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Detailed Solution

Let OR ⊥ PQThen, OR=40+30+3016+9=305=6∴PR=OP2-OR2=100-36 and PQ = 2PR = 16∴ Area of ∆OPQ=12×PQ×OR=12×16×6=48

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