JEE Main 2018MathematicsHyperbolaMediumMCQ

JEE Main 2018 — Hyperbola Question with Solution

JEE Main 2018 (08 Apr)

Question

Tangents are drawn to the hyperbola 4x2-y2=36 at the points P and Q. If these tangents intersect at the point T0, 3 then the area (in sq. units) of ΔPTQ is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B455

Step-by-step explanation

Given hyperbola 4x2-y2=36

⇒x29-y236=1

Equation of chord of contact w.r.t. point T(0, 3) : xx19-yy136=1

x.09-y.336=1

⇒ y= -12

This intersect the hyperbola x29-14436=1 

at x=±35



P35, -12 and Q-35, -12

Hence, area of ∆=12×65×15=455

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About this question

This is a previous-year question from JEE Main 2018, covering the Hyperbola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.