QJEEM19Maba68: JEE Main 2019 Mathematics - Class 11 JEEM19Maba68 Solution: If the area of an equilateral triangle inscribed in the circle…

Question

Verified Solution • 2025–26 Session moderate

If the area of an equilateral triangle inscribed in the circle x² + y² + 10x + 12y + c = 0 is

27 \sqrt{3}

sq units then c is equal to :

Accepted Answer

3 (\frac{1}{2} r^{2} . \sin 120^{o}) = 27 \sqrt{3}

\frac{r^{2}}{2} \frac{\sqrt{3}}{2} = \frac{27 \sqrt{3}}{3}

r^{2} = \frac{108}{3} = 36

Radius

= \sqrt{25 + 36 - C} = \sqrt{36}

C = 25

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