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Match the following
Column–I
Column–II
A
$x^{2} + 8 y^{2} + 4 x y + 1 = 0$
P
Pair of lines
B
$x^{2} + 4 x y + 4 y^{2} - 1 = 0$
Q
Ellipse
C
$x^{2} - y^{2} + 2 x y + 4 = 0$
R
Parabola
D
$12 x^{2} - 10 x y + 2 y^{2} + 11 x - 5 y + 2 = 0$
S
Hyperbola

T
Eccentricity

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$A \to P, B \to Q, C \to R, D \to S$

$A \to S, B \to Q, C \to R, D \to P$

$A \to Q, B \to R, C \to P, D \to S$

$A \to Q, B \to P, C \to S, D \to P$

answer is D.

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Detailed Solution

$A) Δ \neq 0, h^{2} < a b$

$B) Δ = 0$

$C) Δ \neq 0, h^{2} > a b$

$D) Δ = 0$

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