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Show that the curves 2x=y^2a n d2x y=k c...

Show that the curves `2x=y^2a n d2x y=k` cut at right angles, if `k^2=8.`

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. At what points on the curve x^2+y^2-2x-4y+1=0, the tangents are parall...

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  2. Find the required point be P(x1, y1)dot The tangent to the curve sqrt(...

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  3. Show that the curves 2x=y^2a n d2x y=k cut at right angles, if k^2=8.

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  4. Show that the curves x y=a^2a n dx^2+y^2=2a^2 touch each other

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  5. Find the slopes of the tangent and the normal to the curve x^2+3y+y...

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  6. Show that the tangents to the curve y=2x^3-3 at the points where x=...

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  7. Prove that the tangents to the curve y=x^2-5x+6 at the points (2, 0...

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  8. The slope of the curve 2y^2=a x^2+b at (1,\ -1) is -1 . Find a ,\ b .

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  9. Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^...

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  10. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin...

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  11. Find the points on the curve y=x^3-2x^2-x at which the tangent l...

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  12. Find the point on the curve y=2x^2-6x-4 at which the tangent is ...

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  13. At what points on the curve x^2+y^2-2x-4y+1=0, the tangents are parall...

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  14. Find the points on the curve y=x^3 at which the slope of the tan...

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  15. Find points on the curve (x^2)/9-(y^2)/(16)=1 at which the tangents...

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  16. Find a point on the curve y=(x-3)^2 , where the tangent is paral...

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  17. Find the required point be P(x1, y1)dot The tangent to the curve sqrt(...

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  18. Find the points on the curve 4x^2+9y^2=1 , where the tangents ar...

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  19. Find the point on the curve y=x^3-11 x+5 at which the tangent ha...

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  20. Find the points on the curve 9y^2=x^3 where normal to the curve makes ...

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