MCQMediumJEE Main 2023 · 30 January, Shift 1Circle Equation & Properties

Mathematics Question from JEE Main 2023 · 30 January, Shift 1

Let y=x+2,4y=3x+6,and3y=4x+1y = x + 2, \quad 4y = 3x + 6, \quad \text{and} \quad 3y = 4x + 1 be three tangent lines to the circle (xh)2+(yk)2=r2.(x - h)^2 + (y - k)^2 = r^2. Then h+kh + k is equal to:

  • A

    55

  • B

    5(1+2)5(1 + \sqrt{2})

  • C

    66

  • D

    525\sqrt{2}

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