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Prove that the curves 4x = y^2 and 4xy =...

Prove that the curves `4x = y^2` and `4xy = k` cut at right angles if `k^2 = 512`.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
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  2. If the curves: alphax^2 + betay^2 =1 and alpha'x^2 + beta'y^2=1 inters...

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  3. Prove that the curves 4x = y^2 and 4xy = k cut at right angles if k^2...

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  4. Show that the curves 2x = y^2 and 2xy = k cut at right angles if k^2 =...

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  5. Prove that the curves y^(2)=4axandxy=c^(2) cut at right angles if c^(4...

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  6. Show that the normal at any point theta to the curve x = a cos theta +...

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  11. Find the equations of the normal at a point on the curve x^2=4y, which...

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  12. Find the equations of the tangents to the curve 3x^2 - y^2 = 8, which ...

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  13. Determine the values of 'x' for which the function f(x) = x^2 + 2x - 3...

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