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Find the equation of tangent and normal to the hyprobola `x^(2)=4y` at `(at^(2),2at)`

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The correct Answer is:
`(x x_(0))/(a^(2))-(yy_(0))/(b^(2))=1,(y-y_(0))/(a^(2)y_(0))+(x-x_(0))/(b^(2)x_(0))=0`
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NCERT TELUGU-APPLICATION OF DERIVATIVES-EXERCISE 6.3
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  10. Find the points on the curve y = x^3 at which the slope of the tangent...

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  11. For the curve y = 4x^3-2x^5, find all the points at which the tangent ...

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  12. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

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  13. Find the equation of the normal at the point (am^2, am^3) for the cur...

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  14. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

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  15. Find the equations of the tangent and normal to the parabola y^(2) = 4...

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  16. The condition that the two curves x=y^2,xy=k cut orthogonally is

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  17. Find the equation of tangent and normal to the hyprobola x^(2)=4y at (...

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  18. Find the equation of the tangent to the curve y= sqrt(3x-2) which is p...

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  19. The slope of the normal to the curve y = 2x ^2 + 3 sin x at x = 0 is

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  20. The line y = x + 1 is a tangent to the curve y^(2) = 4x at the point

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