Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2012MathematicsParabola

The equation of directrix of the parabola y^2+4 y+4 x+2=0 is

Options

  1. Ax=-1
  2. Bx=1
  3. Cx=- 3 2
  4. Dx= 3 2

Correct answer

D. x= 3 2

Step-by-step solution

We have, y^2+4 y+4 x+2=0 aligned & (y+2)^2+4 x-2 & =0 & (y+2)^2 & =-4 (x- 1 2 ) aligned Replace, y+2=Y, x- 1 2 =X We have, Y^2=-4 X This is a parabola with directrix at X=1 array lr & x- 1 2 =1 & x= 3 2 array

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 Manipal MET PYQs