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If the tangent to the curve x=a\ t^2,\...

If the tangent to the curve `x=a\ t^2,\ \ y=2a t` is perpendicular to x-axis, then its point of contact is
(a)`(a ,\ a)`
(b) `(0,\ a)`
(c) `(0,\ 0)`
(d) `(a ,\ 0)`

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
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  13. If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then ...

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  14. The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is ...

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  15. The curves y=a e^x and y=b e^(-x) cut orthogonally, if (a)a=b (b) a=...

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  16. The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ sin...

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  18. The point on the curve y=6x-x^2 at which the tangent to the curve is...

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  19. The angle of intersection of the parabola y^2=4\ a x and x^2=4a y at...

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