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Find the equation of the tangent and nor...

Find the equation of the tangent and normal of the following curve at the specified point :
`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` at `(a cos theta, b sin theta)`

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Verified by Experts

The correct Answer is:
Tangent : `x b cos theta + y a sin theta =ab`
Normal : `x a sin theta -y b cos theta =(a^(2)-b^(2)) sin theta cos theta`
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CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
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  2. Find the equation of the tangent of the following curve at the specif...

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  9. Show that the equation of the normal to the hyperbola x= a sec theta,...

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  10. Find the equation of tangent to the circle x^(2)+y^(2)=a^(2) at the po...

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  11. If the tangent to the curve y=x^(3)+ax+b at (1,-6) is paralle to the l...

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  12. The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(...

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  13. Find the equations of the tangents to the circle x^(2)+y^(2)=16 having...

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  14. The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos...

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  15. Find the equation of the tangnet to the curve y=sqrt(3x-2) which is pa...

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  16. Find the point on the curve y=x^(3) where the slop of the tangent is e...

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  17. Using calculus find the cordinates of the point on the parabola y^(2)=...

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  18. Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at ...

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  19. Find the equation of the tangent to the parabola y^(2)=8x which is inc...

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  20. Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the...

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