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Question: The general equation of 2nd degree 9x<sup>2</sup> –24xy + 16y<sup>2</sup> – 20x –15y – 60 = 0 repre...

The general equation of 2nd degree

9x2 –24xy + 16y2 – 20x –15y – 60 = 0 represents

A

Pair of st. lines

B

Parabola

C

Ellipse

D

Hyperbola

Answer

Parabola

Explanation

Solution

As h = –12 a = 9 b = 16

h2 = ab

Ю (–12)2 = 9.16

(–12)2 = 144 so it is parabola.