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Show that the curves 4x=y^2 and 4x y=k c...

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

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
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  2. Find the angle of intersection of the following curves : y^2=x \ a n ...

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  8. If the tangent to the curve y=x^3+a x+b at (1,6) is parallel to the l...

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  9. Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi...

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  10. Prove that (x/a)^n+(y/b)^n=2 touches the straight line x/a+y/b=2 for...

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  11. At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is paralle...

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  12. Find the point on the curve y=x^2 where the slope of the tangent is eq...

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  13. At what point will be tangents to the curve y=2x^3-15 x^2+36 x-21 be p...

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  16. Find the equation of the normal to y=2x^3-x^2+3 at (1,4).

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