JEE Main 2018 — Hyperbola Question with Solution
From: JEE Main 2018 (Offline)
Question
Tangents are drawn to the hyperbola 4x2 - y2 = 36 at the points P and Q.
If these tangents intersect at the point T(0, 3) then the area (in sq. units) of PTQ is :
If these tangents intersect at the point T(0, 3) then the area (in sq. units) of PTQ is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Here PQ is the chord of contact.
Equation of PQ is
x.0 y.3 = 36
Putting value of y = 12 in the equation
4x2 y2 = 36
we get , 4x2 144 = 36
Coordinate of and
Coordinate of
Length of PQ
TM is the height of the triangle Length of TM = 12 + 3 = 15
Area of =
sq. units
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