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Find the condition that the line x cos a...

Find the condition that the line `x cos alpha+y sin alpha = P` mam be a tangent to the curve `x^2/a^2+y^2/b^2=1`.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
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  2. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

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  3. Find the extreme values of y = cos x(1+sin x), x in [0,2pi]

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  7. Find the intervals where the following functions are (a) increasing an...

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  10. Show that the tangent to the curve y=x^2+3x-2 at (1,2) is parallel to ...

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  12. Show that y=mx+c is a tangent to the ellipse x^2/a^2+y^2/b^2=1 if c^2=...

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  13. A square piece of tin of side 18 cm is to be made into a box without t...

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  17. Find the points on the curve y = x^2+1 which are nearest to the point ...

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  18. Find the condition that the line x cos alpha+y sin alpha = P mam be a ...

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  19. Show that the semi-vertical angle of a right circular cone of minimum ...

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  20. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

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