JEE Main 2013 — Matrices Question with Solution
JEE Main 2013 (25 Apr Online)
Question
A common tangent to the conics and is:
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Consider the line,
On solving (i) and (iii), we get only
Hence is the point of contact of conic (i), and line (iii)
On solving (ii) and (iii), we get only ,
Hence is also the point of contact of conic (ii) and line (iii).
Hence line (iii) is the common tangent to both the given conics.
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This is a previous-year question from JEE Main 2013, covering the Matrices 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.