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If a normal of curvex^(2//3)+y^(2//3)=a^...

If a normal of curve`x^(2//3)+y^(2//3)=a^(2//3)` makes an angle `phi` from X-axis then show that its equation is `y cos phi -x sin phi = a cos 2phi`.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (c) (Long Answer Type Questions (I))
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  4. (i) Find the equation of the normal to the curve : x^(2)=4y, which pas...

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  8. Find the equations of tangent lines to the curve y=4x^3-3x+5, which ar...

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  11. Find the equations of the normal to the curve y=4x^(3)-3x+5, which are...

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  13. Find the equation of the tangent at t=(pi)/(4) to the curve : x=sin 3t...

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  14. Find the point(s) on the curve : (i) y=3x^(2)-12x+6 (ii) x^(2)+y^...

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  16. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

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

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  18. Find the points on the following curve at which the tangents are paral...

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  19. At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is parallel...

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  20. Find points on the curve (x^2)/4+(y^2)/(25)=1at which the tangents ar...

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