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Circle question

2009 · Shift 1 · Q33

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PYQ Library
JEE Advanced
Mathematics
Circle
2009 · Shift 1 · Q33

Circle question

2009 · Shift 1 · Q33

JEE AdvancedMathematicsCircleMCQ+3 / −1

Tangents drawn from the point P (1, 8) to the circle

{x^2}\, + \,{y^2}\, - \,6x\, - 4y\, - 11 = 0

touch the circle at the points A and B. The equation of the cirumcircle of the triangle PAB is

A
${x^2}\, + \,{y^2}\, + \,4x\,\, - 6y\, + 19 = 0$
B
${x^2}\, + \,{y^2}\, - \,4x\,\, - 10y\, + 19 = 0$
C
${x^2}\, + \,{y^2}\, - \,2x\,\, + 6y\, - 29 = 0$
D
${x^2}\, + \,{y^2}\, - \,6x\,\, - 4y\, + 19 = 0$

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