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The equation y^(2)-x^(2)+2x-1=0, represe...

The equation `y^(2)-x^(2)+2x-1=0`, represents

A

a hyperbola

B

an ellipse

C

a pair of striaght lines

D

a rectangular hyperbola

Text Solution

Verified by Experts

The correct Answer is:
C
Given equation of curve is
`y^(2)-x^(2)+2x-1=0`
Here, `a=-1,b=1,c=-1`
`h=0,g=1,f=0`
`:.Delta=abc+2fgh-af^(2)-bg^(2)-ch^(2)`
`=(-1)(1)(-1)+2(0)1(0)-0-1-0=1-1=0`
`:.` Given equation is equation of pair of straight lines.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 07-PAPER 2( MATHEMATICS)
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