JEE Main 2020 — Hyperbola Question with Solution
From: JEE Main 2020 (Online) 2nd September Morning Slot
Question
A line parallel to the straight line 2x – y = 0 is
tangent to the hyperbola
at the point . Then is equal to :
at the point . Then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B6
Step-by-step explanation
Tangent of hyperbola at the point (x1, y1) is
which is parallel to 2x – y = 0
Slope of tangent = Slope of 2x – y = 0
= 2
x1 = 4y1 ....(1)
(x1, y1) lies on hyperbola
....(2)
From (1) & (2)
Now
=
= 21
= 21
= 6
which is parallel to 2x – y = 0
Slope of tangent = Slope of 2x – y = 0
= 2
x1 = 4y1 ....(1)
(x1, y1) lies on hyperbola
....(2)
From (1) & (2)
Now
=
= 21
= 21
= 6
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