MCQMediumJEE Main 2023 · 13 April, Shift 2Circle Equation & Properties

Mathematics Question from JEE Main 2023 · 13 April, Shift 2

Let the centre of a circle C be (α,β)(\alpha, \beta) and its radius r<8r < 8. Let 3x+4y=243x + 4y = 24 and 3x4y=323x - 4y = 32 be two tangents and 4x+3y=14x + 3y = 1 be a normal to C. Then the value of (αβ+r)(\alpha - \beta + r) is equal to:

  • A

    55

  • B

    66

  • C

    77

  • D

    99

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