(C) The power of a point $(x_1, y_1)$ with respect to a circle $x^2 + y^2 + 2gx + 2fy + c = 0$ is given by the expression $x_1^2 + y_1^2 + 2gx_1 + 2fy

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(C) The power of a point $(x_1, y_1)$ with respect to a circle $x^2 + y^2 + 2gx + 2fy + c = 0$ is given by the expression $x_1^2 + y_1^2 + 2gx_1 + 2fy_1 + c$.Given the point $(1, 6)$ and the circle $x^2 + y^2 + 4x - 6y - a = 0$,the power is:$1^2 + 6^2 + 4(1) - 6(6) - a = -16$$1 + 36 + 4 - 36 - a = -16$$5 - a = -16$$a = 5 + 16$$a = 21$

Class 11 Mathematics 10-1.Circle and System of Circles Geometrical problems regarding circle and its properties

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If the power of the point $(1, 6)$ with respect to the circle $x^2 + y^2 + 4x - 6y - a = 0$ is $-16$,then $a$ equals:

AP EAMCET 2021 All AP EAMCET

A
$5$
B
$11$
C
$21$
D
$6$

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10-1.Circle and System of Circles

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Geometrical problems regarding circle and its properties

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