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Find the condition for the chord lx + my...

Find the condition for the chord lx + my=1 of the circle `x^(2)+y^(2)=a^(2)` to subtend a right angle at the origin.

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SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
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  11. if siny=xsin(a+y) then show that dy/dx=sin^(2)(a+y)/(sina).

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  12. If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)).

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  13. If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)L...

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  14. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) then prove that dy/dx=(sqrt(1-y^...

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