JEE Main 2020 — Parabola Question with Solution
From: JEE Main 2020 (Online) 9th January Evening Slot
Question
If one end of a focal chord AB of the parabola
y2 = 8x is at , then the equation of
the tangent to it at B is :
Choose an option
Show full solutionCorrect option: B
Correct answer
Bx – 2y + 8 = 0
Step-by-step explanation
Given parabola y2
= 8x
a = 2
Let one end of focal chord is A(at2 , 2at) =
2at = -2
t =
Other end of focal chord will be B (8, 8)
Equation of tangent at B is
8y = 4(x + 8)
x – 2y + 8 = 0
a = 2
Let one end of focal chord is A(at2 , 2at) =
2at = -2
t =
Other end of focal chord will be B (8, 8)
Equation of tangent at B is
8y = 4(x + 8)
x – 2y + 8 = 0
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