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Statement-1: The equation x^(2)-y^(2)-4x...

Statement-1: The equation `x^(2)-y^(2)-4x-4y=0` represents a circle with centre (2, 2) passing through the origin.
Statement-2: The equation `x^(2)+y^(2)+4x+6y+13=0` represents a point.

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
D
The equation `x^(2)-y^(2)-4x-4y=0` represents a pair of straight lines. So, statement-1 is false.
The equation `x^(2)+y^(2)+4x+6y+13=0` can be re-written as
`(x+2)^(2)+(y+3)^(2)=0 rArr x+2=0 and y+3=0`
`rArr x=-2, y=-3`, which represents the point (-2, -3)
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