Which of the following equations does not rep | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) general second-degree equation $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$ represents a parabola if the discriminant $B^2 - 4AC = 0$.For option $A$: $A=

Vedclass · Accepted Answer

$2x^2 + y^2 - 4xy = 8$

Vedclass · Answer

(C) general second-degree equation $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$ represents a parabola if the discriminant $B^2 - 4AC = 0$.For option $A$: $A=4, B=-12, C=9$. Discriminant $B^2 - 4AC = (-12)^2 - 4(4)(9) = 144 - 144 = 0$. This is a parabola.For option $B$: $A=4, B=-12, C=9$. Discriminant $B^2 - 4AC = (-12)^2 - 4(4)(9) = 144 - 144 = 0$. This is a parabola.For option $C$: $A=2, B=-4, C=1$. Discriminant $B^2 - 4AC = (-4)^2 - 4(2)(1) = 16 - 8 = 8$. Since $8 
eq 0$,this does not represent a parabola (it represents a hyperbola as $B^2 - 4AC > 0$).

Which of the following equations does not represent a parabola?

Similar Questions

The lines $y = -\frac{3}{2} x$ and $y = -\frac{2}{5} x$ intersect the curve $3x^2 + 4xy + 5y^2 - 4 = 0$ at the points $P$ and $Q$ respectively. The tangents drawn to the curve at $P$ and $Q$:

What type of conic section is represented by the equation $13x^2 - 18xy + 37y^2 + 2x + 14y - 2 = 0$?

If curves $y = ax^2 + bx + c$ and $y = px^2 + qx + r$ do not intersect each other and $a, b, c, p, q, r \in \{1, 2, 3, 4, \dots, 10\}$,then the maximum value of $(aq - bp)^2 + (c - r)^2$ is-

Find the center of the conic $14x^2 - 4xy + 11y^2 - 44x - 58y + 71 = 0$.

The equation $x^2 + 4xy + y^2 + 2x + 4y + 2 = 0$ represents

Vedclass Test Series

Exam Paper Generator

Online Exam Module