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The equation of tangent to the curve x=a...

The equation of tangent to the curve `x=a cos^(3) theta, y= a sin^(3) theta" at "theta=(pi)/(4)` is

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The correct Answer is:
`x+y=(a)/(sqrt2).`
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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (c) (Short Answer Type Questions)
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  2. Find the slope of the normal to the curve : y=x^(3)-x+1" at "x=2

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  3. Find the slope of the normal to the curve : y=tan^(2)x+secx" at "x=(...

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  4. The slope of the normal to the curve x=a(theta-sintheta), y=a(1-costhe...

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  5. Find te slope of the normal to the curve x= a cos^(2) theta and y= a s...

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  6. Equation of the tangent to the curve 2x^(2)+3y^(2)-5=0 at (1, 1) is

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  7. Find the equation of the tangent line to the curve : y=x^(3)-3x+5 at...

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  8. Find the equation of the tangent line to the curve y = cot^2x – 2 cot ...

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  9. Find the equation of the tangent of the tangent to the curve y = (sec^...

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  10. Find the equation of the tangent line to the following curves : y=x^...

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  11. Find the equation of the tangent line to the following curves : y=x^...

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  12. Find the equations of the tangent and the normal to the curve y=2x^...

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  13. Find the equations of the tangent and the normal to the curve x^(2/...

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  14. Find the equations of the tangent and the normal to the curve y = x^(4...

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  15. Find the equation of the tangent line to the following curves : y=x^...

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  16. Find the equation of the tangent line to the following curves : x=co...

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  17. The equation of tangent to the curve x=a cos^(3) theta, y= a sin^(3) t...

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  18. Find the equation of the normal line to the curve : (i) y=2x^(2)+3 s...

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