Let a circle C of radius 5 lie below the x-axis. The line L₁: 4x + 3y + 2 = 0 passes through the centre P of the circle C and intersects the line L₂ = 3x - 4y - 11 = 0 at Q. The line L₂ touches C at the point Q. Then the distance of P from the line 5x - 12y + 51 = 0 is _ _ _ _ _ _ _.

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Evening shift · Q27

JEE Main 202227 Jun, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let a circle C of radius 5 lie below the x-axis. The line L₁ : 4x + 3y + 2 = 0 passes through the centre P of the circle C and intersects the line L₂ = 3x

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11 = 0 at Q. The line L₂ touches C at the point Q. Then the distance of P from the line 5x

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12y + 51 = 0 is ______________.

Your answerType your answer. Integers and decimals are accepted.

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JEE Main 2022 Coordinate Geometry Question with Answer (27 Jun Evening shift, Q27) | JEE Arc