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Mathematics - Circle Question with Solution | TestHub

MathematicsCirclePole & PolarMedium2 minQB

MathematicsMediumsingle choice

Find the locus of poles of $l x + m y + n = 0$ with respect to circles through $(- a, 0)$ and $(a, 0)$ .

Options:

Answer:

Solution:

A circle of the family is $x^{2} + y^{2} + 2 t y - a^{2} = 0$ . Matching the polar of $(X, Y), X x + (Y + t) y + t Y - a^{2} = 0$ , with the given line up to scale and eliminating $t$ gives $l Y^{2} - m X Y + n X + a^{2} l = 0$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Pole & Polar

⏱ 2mℹ️ Source: QB

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