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AP EAMCET202420 May 2024Evening ShiftMathematicsParabolaActual

Equation of a tangent line of the parabola y^2=8 x , which passes through the point (1,3) is

Options

  1. Ay=2 x+1
  2. B2 y=x+5
  3. Cy=-2 x+5
  4. D2 y=3 x+3

Correct answer

A. y=2 x+1

Step-by-step solution

Equation of tangent to parabola y^2=8 x is y=m x+ 2 m It passes through (1,3) 3=m+ 2 m m=1,2 Tangents are y=x+2 and y=2 x+1

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