(C) The equation of the polar of a point $(x_1, y_1)$ with respect to the circle $x^2+y^2=r^2$ is given by $xx_1+yy_1=r^2$.Here,the circle is $x^2+y^2

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(C) The equation of the polar of a point $(x_1, y_1)$ with respect to the circle $x^2+y^2=r^2$ is given by $xx_1+yy_1=r^2$.Here,the circle is $x^2+y^2=16$,so $r^2=16$.The polar of point $A(2, c)$ is $2x+cy=16$.Since this polar passes through $B(d, 2)$,we substitute $x=d$ and $y=2$ into the equation:$2(d)+c(2)=16$$2d+2c=16$Dividing by $2$,we get $d+c=8$.Therefore,$c+d=8$.

Class 11 Mathematics 10-1.Circle and System of Circles Pole and Polar

Medium

If $A(2, c)$ and $B(d, 2)$ are two points such that the polar of one point with respect to the circle $x^2+y^2=16$ passes through the other,then $c+d=$

AP EAMCET 2017 All AP EAMCET

A
$4$
B
$6$
C
$8$
D
$10$

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10-1.Circle and System of Circles

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