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KCET2013MathematicsParabola

The equation of the tangent to the parabola y²=4 x inclined at an angle of 4 to the positive direction of x -axis, is

Options

  1. Ax+y-4=0
  2. Bx-y+4=0
  3. Cx-y-1=0
  4. Dx-y+1=0

Correct answer

D. x-y+1=0

Step-by-step solution

Given, equation of parabola is y²=4 x . Here, a=1 Now, equation of tangent to the parabola in slope form is aligned y &=m x+ a m y &=m x+ 1 m ...(i) aligned Also given that tangent to the parabola inclined at an angle of 4 to the (+ ve ) direction of x -axis. array lll & m= 4 =1 & Then, & y=(1) x+1 & x-y+1=0 array [from Eq. (i)]

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