Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202021 Sep 2020Evening ShiftMathematicsParabolaActual

The equation of the tangent to the parabola (y^2=8 x ) inclined at (30^ ) to the (X )-axis is

Options

  1. A(3 x- 3 y +14=0 )
  2. B(2 x-3 y+14=0 )
  3. C(2 x- 3 y+7=0 )
  4. D(x- 3 y +6=0 )

Correct answer

D. (x- 3 y +6=0 )

Step-by-step solution

The equation of tangent to the parabola (y^2=8 x ) having slope (m= ) is (y=m x+ a m ) So, the equation of required tangent is (y= 1 3 x+ 2 1 / 3 x- 3 y+6=0 ) Hence, option (d) is correct.

Practice Parabola on Quantrex Academy →

More from Parabola

A parabola has its focus on the positive X-axis and the Y-axis as its directrix. If P( , 4) is a point on this parabola such that the tangent to the parabola at point P passes thro 2026The distance of the focus of the parabola y^2 = 16x from its directrix is... 2026The area of the triangle formed by the lines joining the vertex of the parabola x^2 = 48y to the ends of its latus rectum, is ..... 2026A point on the parabola y^2 = 36 5 x at which the ordinate increases at thrice the rate of the abscissa is ..... 2026A circle is drawn with its centre at the focus of the parabola y^2=2 p x such that it touches the directrix of the parabola. Then a point of intersection of the circle and the para 2025If the locus of a point that divides a chord of slope 2 of the parabola y^2=4 x internally in the ratio 1: 2 is a parabola, then its vertex is 2025If x-y-3=0 is a normal drawn through the point (5,2) to the parabola y^2=4 x , then the slope of the other normal that can be drawn through the same point to the parabola y^2=4 x i 2025If the normal chord draw n at the point ( 15 2 , 15 2 ) to the parabola y ^2=15 x subtends an angle at the vertex of the parabola, then 3 + 2 3 - 4 3 = 2025 Full Parabola list All AP EAMCET PYQs