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Circle question

2023 · 25 Jan · Shift 1 · Q34

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PYQ Library
JEE Main
Mathematics
Circle
2023 · 25 Jan · Shift 1 · Q34

Circle question

2023 · 25 Jan · Shift 1 · Q34

JEE MainMathematicsCircleMCQ+4 / −1

The points of intersection of the line

ax + by = 0,(a e b)

and the circle

{x^2} + {y^2} - 2x = 0

are

A(\alpha ,0)

and

B(1,\beta )

. The image of the circle with AB as a diameter in the line

x + y + 2 = 0

is :

A
${x^2} + {y^2} + 5x + 5y + 12 = 0$
B
${x^2} + {y^2} + 3x + 5y + 8 = 0$
C
${x^2} + {y^2} - 5x - 5y + 12 = 0$
D
${x^2} + {y^2} + 3x + 3y + 4 = 0$

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