A) \[\frac{x}{h}+\frac{y}{k}=1\]
B) \[\frac{x}{y}+\frac{h}{k}=1\]
C) \[\frac{h}{x}+\frac{k}{y}=1\]
D) \[\frac{x}{k}+\frac{y}{h}=1\]
Correct Answer: C
Solution :
Let the coordinates of \[R(\alpha ,\beta ).\]Since, OPRQ is a rectangle, therefore coordinates of P and Q are \[(\alpha ,0)\] and \[(0,\beta )\] respectively. Now, equation of line PQ is \[\frac{x}{\alpha }+\frac{y}{\beta }=1\] Since, \[(h,k)\]lies on this line \[\therefore \] \[\frac{h}{\alpha }+\frac{k}{\beta }=1\] Hence, locus of \[R(\alpha ,\beta )\]is \[\frac{h}{x}+\frac{k}{y}=1\]You need to login to perform this action.
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