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If the straigjht line x cos alpha+ y sin...

If the straigjht line `x cos alpha+ y sin alpha=p` touches the curve `x^(m)y^(n)=a^(m+n)`, prove that.
`p^(m+n)""m^(m)n^(n)=(m+n)^(m+n)a^(m+n)sin^(n) alpha cos^(m) alpha`

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CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1.

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  3. If the straigjht line x cos alpha+ y sin alpha=p touches the curve x^(...

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  10. In each of the following cases find the angle between the given curves...

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  15. Show that the length of the portion of the tangent to the curve x^((2)...

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  18. Find the equation of the normal to the parabola y^(2)=4ax at a point (...

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  19. Find the coodition that the straight line lx+my+n=0 is a normal to the...

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