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The general solution of the differential...

The general solution of the differential equation of all circles having centre at A(-1,2) is

A

`x^(2)+y^(2)+x-2y+c=0`

B

`x^(2)+y^(2)-2x+4y+c=0`

C

`x^(2)+y^(2)-x+2y+c=0`

D

`x^(2)+y^(2)+2x-4y+c=0`

Text Solution

Verified by Experts

The correct Answer is:
D
General equation of a circle with centre (-g,-f) is
`x^(2)+y^(2)+2x+2fy+c=0`
if `(-g,-f)=A(-1,2)`
Then equation of circle, `x^(2)+y^(2)+2x-4y+c=0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SOLVED PAPER 2019-MCQS
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