JEE Main 2021 — Hyperbola Question with Solution
From: JEE Main 2021 (Online) 22th July Evening Shift
Question
Let a line L : 2x + y = k, k > 0 be a tangent to the hyperbola x2 y2 = 3. If L is also a tangent to the parabola y2 = x, then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D24
Step-by-step explanation
Tangent to hyperbola of
Slope m = 2 (given)
y = 2x
y + 2x = 3 2x + y = 3 (k > 0)
For parabola y2 = x
Slope m = 2 (given)
y = 2x
y + 2x = 3 2x + y = 3 (k > 0)
For parabola y2 = x
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