JEE Main 2026 — Hyperbola Question with Solution
JEE Main 2026 (02 April Shift 2)
Question
Let O be the origin, and P and Q be two points on the rectangular hyperbola such that the mid point of the line segment PQ is . Then the area of the triangle OPQ equals:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The equation of the chord of the hyperbola with midpoint is given by .
Substituting the midpoint :
To find the coordinates of P and Q, substitute into the equation of the hyperbola :
For , .
For , .
Thus, the coordinates of P and Q are and .
The area of triangle OPQ with vertices , , and is:
Answer:
Substituting the midpoint :
To find the coordinates of P and Q, substitute into the equation of the hyperbola :
For , .
For , .
Thus, the coordinates of P and Q are and .
The area of triangle OPQ with vertices , , and is:
Answer:
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This is a previous-year question from JEE Main 2026, 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.