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A straight line through a fixed point (2,3) intersects the coordinate axes at distinct point p and q. If o is origin and the oprq is rectangle then locus of r


belal1856 30th May, 2020
Answer (1)
NILUTPOL Student Expert 30th May, 2020

Hello,

Let R be (h,k)

Therfore, equation of line PQ is x/h + y/k =1

It passes through (2,3)

So, 2/h + 3/k =1

Therefore locus is 2/x + 3/y =1

Hence answer is 2y + 3x =xy


Please find the answer to your question with diagrams in the given link https://learn.careers360.com/engineering/question-help-me-please-a-straight-line-through-a-fixed-point-2-3-intersects-the-coordinate-axes-at-distinctpoints-p-and-q-if-o-is-the-origin-and-the-rectangle-oprq-is-completed-then-the-locus-of-r-is/

Hope it helps

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