Let the circle S: 36x² + 36y² − 108x + 120y... | Circle

JEE MAIN_2021

_22-JULY-2021,S2

Question

Let the circle $\mathrm{S} ; 36 x^2+36 y^2-108 x+120 y+C=0$ be such that it neither intersects nor touches the coordinate axes. If the point of intersection of the lines, $x-2 y=4$ and $2 x-y=5$ lies inside the circle $S$, thens

Select the correct option:

$\frac{25}{9}<\mathrm{C}<\frac{13}{3}$

100 < C < 165

81 < C < 156

100 < C < 156

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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