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  4. The slope of the tangent at the point ( h , h ) of the circles x2+y2=a2 is

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Q. The slope of the tangent at the point $( h , h )$ of the circles $x^{2}+y^{2}=a^{2}$ is

Conic Sections

Solution:

The equation of tangent to the circle at the pont $( h , h )$ is $hx + hy = a ^{2} $
$ \therefore $ Slope $=-\frac{ h }{ h }=-1$