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MHT CET202522 Apr 2025Morning ShiftMathematicsParabolaActual

The line y = m x+3 is tangent to the parabola y ^2=4 x , if the value of m is

Options

  1. A3
  2. B1 3
  3. C4
  4. D1 4

Correct answer

B. 1 3

Step-by-step solution

For the line y = m x + 3 to be tangent to the parabola y 2 = 4 x , the condition c = a / m must hold, where a = 1 is obtained from comparing to y 2 = 4 a x and c = 3. Substituting gives 3 = 1/ m , so m = 1/3 . The value of m is 1 3 .

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