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A tangent to the hyperbola x^(2)-2y^(2)=...

A tangent to the hyperbola `x^(2)-2y^(2)=4` meets x-axis at P and y-aixs at Q. Lines PR and QR are drawn such that OPRQ is a rectangle (where O is origin).Find the locus of R.

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To find the locus of point R given the conditions of the problem, we will follow these steps: ### Step 1: Write the equation of the hyperbola The hyperbola is given by the equation: \[ x^2 - 2y^2 = 4 \] We can rewrite this in standard form: ...
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