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
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