JEE Advanced Mathematics question
Consider the parabola . Let be the area of the triangle formed by the end points of its latus rectum and the point on the parabola and be the area of the triangle formed by drawing tangents at and the end points of the latus rectum. Then is
Answer: 2
Solution
, so ; the latus rectum ends are , .
: base on the line ; height = distance of from . So .
Tangents (): - at : $4y = 4(x + 2) ⇒ y =
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