Answer to Question #91537 in Geometry for sajid

Question

Q. Choose the correct answer.
Q. The equation 3x2+3y2-6x-8y-12=0 represents
a. pair of straight line
b. Ellipse
c. parabpla
d. Circle

Answer 1

$3x^2+3y^2-6x-8y-12 = 3x^2 - 6x + 3 - 3 +3y^2 - 8y + \frac{16}{3} - \frac{16}{3} - 12 = \\ =(\sqrt{3}x-\sqrt{3})^2 + (\sqrt{y}- \frac{4}{\sqrt{3}})^2 - \frac{61}{3} \\  \\ \\ (\sqrt{3}x-\sqrt{3})^2 + (\sqrt{y}- \frac{4}{\sqrt{3}})^2 = \frac{61}{3} \\ This is circle$