(C) The equation of the tangent to the circle $x^2 + y^2 = a^2$ at the point $(x_1, y_1)$ is given by $xx_1 + yy_1 = a^2$.Substituting the point $(h,

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(C) The equation of the tangent to the circle $x^2 + y^2 = a^2$ at the point $(x_1, y_1)$ is given by $xx_1 + yy_1 = a^2$.Substituting the point $(h, h)$,we get $hx + hy = a^2$,which can be rewritten as $hx + hy - a^2 = 0$.This is in the form $Ax + By + C = 0$,where the slope $m = -\frac{A}{B}$.Thus,the slope $m = -\frac{h}{h} = -1$ (provided $h \neq 0$).

Class 11 Mathematics 10-1.Circle and System of Circles Tangent and normal to a circle

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The slope of the tangent at the point $(h, h)$ of the circle $x^2 + y^2 = a^2$ is

A
$0$
B
$1$
C
$-1$
D
Depends on $h$

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10-1.Circle and System of Circles

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Tangent and normal to a circle

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