If two perpendicular tangents can be drawn from the origin to the circle then the value of is;fn ewy fcUnq ls o`r ij nks

JEE MainMathematicsEasyCircles

If two perpendicular tangents can be drawn from the origin to
the circle $x^{2} - 6x + y^{2} - 2py + 17 = 0$ then the value of $p^{2}$
is;fn ewy fcUnq ls o`r $x^{2} - 6x + y^{2} - 2py + 17 = 0\$ ij nks

Show answer and solution

(x - 3)^{2} + (y - p)^{2} = p^{2} - 8

(0, 0) must lie on the director circle:

(x - 3)^{2} + (y - p)^{2} = 2\left( p^{2} - 8 \right)

(0, 0) fu;Xed o`r:

(x - 3)^{2} + (y - p)^{2} = 2\left( p^{2} - 8 \right)

ij fLFkr gksxkA

p^{2} = 25

Source: Grass-G / M-26 Mathematics Paper 1 15 Jan.docx

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