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Question: (3x + 4y + 1)<sup>2</sup> + (x + y + 3)<sup>2</sup> = 0 represents-...

(3x + 4y + 1)2 + (x + y + 3)2 = 0 represents-

A

A point

B

A hyperbola

C

A pair of straight lines

D

An ellipse

Answer

A point

Explanation

Solution

(3x + 4y + 1)2 + (x + y + 3)2 = 0

only when 3x + y + 1 = 0

and x + y + 3 = 0

which represents points of intersection of (1) & (2) i.e. (1, – 4)