SaraNextGen.Com


The equation of a tangent to the parabola, x2 = 8y, which makes an angle  with the positive direction of  x-axis, is

(a)

x = ycot  + 2tan

(b)

x=ycot  − 2tan

(c)

y= xtan  − 2cot

(d)

y = xtan  + 2cot


Question ID - 57314 | Toppr Answer

The equation of a tangent to the parabola, x2 = 8y, which makes an angle  with the positive direction of  x-axis, is

(a)

x = ycot  + 2tan

(b)

x=ycot  − 2tan

(c)

y= xtan  − 2cot

(d)

y = xtan  + 2cot

1 Answer - 5876 Votes

3537

Answer Key : (a) -

 x2=8y

 =  = tan

∴ x1 = 4tan

   y1 = 2 tan2

Equation of tangent

y − 2tan2  = tan  (x−4tan )

⇒ x = y cot  + 2 tan       



SaraNextGen