Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematics Parabola, Ellipse and Hyperbola General Equation of Conics
The equation ax2 + by2 + cz2 + 2ux + 2vy + 2wz + d = 0, represents a cone if-
1
au2 + bv2 + cw2 = d
2
(b + c).u2 + (a + c).v2 + (a + b).w2= d
3
bcu + acv + abw = d
4
\(\frac{u^2}{a} \) + \(\frac{v^2}{b}\) + \(\frac{w^2}{c}\) = d