JEE Main 2019 · 9 April · Shift I

JEE Main 2019 Mathematics question on Conic Sections

If the line y=mx+73y = mx + 7\sqrt{3} is normal to the hyperbola x224−y218=1\frac{x^2}{24} - \frac{y^2}{18} = 1, then a value of mm is
  1. A.
    155\frac{\sqrt{15}}{\sqrt{5}}
  2. B.
    152\frac{\sqrt{15}}{2}
  3. C.
    25\frac{2}{\sqrt{5}}
  4. D.
    52\frac{\sqrt{5}}{2}
Show answer

Correct option: C

[JEE Main 2019 · 9 April · Shift I]

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