JEE Main 2018 — Hyperbola Question with Solution
JEE Main 2018 (15 Apr Shift 1 Online)
Question
If the tangents drawn to the hyperbola 1 intersect the co-ordinate axes at the distinct points and , then the locus of the mid point of is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Equation of hyperbola is :
Now, tangent to the curve at point is given by.
Equation of tangent at is
As tangent passes through
Therefore,
which intersects axis at and axis at
Let midpoint of is
Thus,
So, required equation is
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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.