JEE Main 2013 — Circle Question with Solution
JEE Main 2013 (25 Apr Online)
Question
Statement 1: The only circle having radius and a diameter along line is .
Statement is a normal to the circle .
Choose an option
Show full solutionCorrect option: A
Correct answer
AStatement 1 is false; Statement 2 is true.
Step-by-step explanation
Circle:
Line:
Centre
Now, , hence centre lies on the given line. Therefore line passes through the centre. The given line is normal to the circle.
Thus statement- 2 is true, but statement- 1 is not true as there are infinite circle according to the given conditions.
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This is a previous-year question from JEE Main 2013, covering the Circle 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.