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(B) Let the pole be $(x_1, y_1)$. The equation of the polar of the point $(x_1, y_1)$ with respect to the circle $x^2 + y^2 = a^2$ is given by $xx_1 +

Vedclass · Accepted Answer

$(5, 10)$

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(B) Let the pole be $(x_1, y_1)$. The equation of the polar of the point $(x_1, y_1)$ with respect to the circle $x^2 + y^2 = a^2$ is given by $xx_1 + yy_1 = a^2$.Given the circle $x^2 + y^2 = 5$,the equation of the polar is $xx_1 + yy_1 = 5$.We are given the line $x + 2y = 1$,which can be rewritten as $5x + 10y = 5$ by multiplying both sides by $5$.Comparing $xx_1 + yy_1 = 5$ and $5x + 10y = 5$,we get $x_1 = 5$ and $y_1 = 10$.Therefore,the pole is $(5, 10)$.

The pole of the straight line $x + 2y = 1$ with respect to the circle $x^2 + y^2 = 5$ is

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