Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2011MathematicsParabola

The sum of the reciprocals of focal distances of a focal chord P Q of y²=4 a x is

Options

  1. A1 a
  2. Ba
  3. C2 a
  4. D1 2 a

Correct answer

A. 1 a

Step-by-step solution

Equation of parabola y²=4 a x Total length of focal chord =4 a and half length of focal chord =2 a Now, sum of the reciprocals of focal distances = 1 2 a + 1 2 a = 2 2 a = 1 a

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 KCET PYQs