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Hyperbola question

2010 · Shift 1 · Q37

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PYQ Library
JEE Advanced
Mathematics
Hyperbola
2010 · Shift 1 · Q37

Hyperbola question

2010 · Shift 1 · Q37

JEE AdvancedMathematicsHyperbolaMCQ+4 / −1

The circle

{x^2} + {y^2} - 8x = 0

and hyperbola

{{{x^2}} \over 9} - {{{y^2}} \over 4} = 1

intersect at the points

A

and

B

. Equation of the circle with

AB

as its diameter is

A
${x^2} + {y^2} - 12x + 24 = 0$
B
${x^2} + {y^2} + 12x + 24 = 0$
C
${x^2} + {y^2} + 24x - 12 = 0$
D
${x^2} + {y^2} - 24x - 12 = 0$

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