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Show that curves x^(2//3)+y^(2//3)=e^(2/...

Show that curves `x^(2//3)+y^(2//3)=e^(2//3) and (x^(2))/(a^(2))+(y^(2))/(b^(2))=1` may touch each other if `c=a+b`.

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AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
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  7. Show that the points of contact of the tangents drawn from the origin ...

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  10. If the slop of the tangent to the curve e^(y)=1x^(2) at any point is m...

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  12. If the sum of the squares of the intercepts on the axes cut off by the...

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  13. Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin...

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  14. Let P be the point (other than the origin) of intersection of the curv...

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  15. Find the angle of intersection of the curves y=[sinx|+|cosx|] and x^(2...

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  16. If the tangent at (x(0),y(0)) to the curve x^(3)+y^(3)=a^(3) meet the ...

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  17. Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the l...

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  18. Show that curves x^(2//3)+y^(2//3)=e^(2//3) and (x^(2))/(a^(2))+(y^(2)...

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  19. Find the slope of straight line which is both tangent and normal to th...

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