A tangent is drawn to the parabola y 2 = 8 x at P 2 , 4 to intersect the x -axis at Q , from which another tangent is drawn to the parabola to touch it at R . If the normal at R intersects the parabola again at S , then the coordinates of S are

Question

A tangent is drawn to the parabola y 2 = 8 x at P 2 , 4 to intersect the x -axis at Q , from which another tangent is drawn to the parabola to touch it at R . If the normal at R intersects the parabola again at S , then the coordinates of S are, 6 , 4, 18 , 12, 8 , 8, 8 , 6

MARKS App · Accepted Answer

P is one of the end points of the latus rectum. So, Q lies on the directrix. Hence, R = 2 , - 4 . Equation of the normal at R is y = x - 6 ⇒ S = 18 , 12

Search any question & find its solution

Looking for more such questions to practice?