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Circle question

2008 · Shift 2 · Q37

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PYQ Library
JEE Advanced
Mathematics
Circle
2008 · Shift 2 · Q37

Circle question

2008 · Shift 2 · Q37

JEE AdvancedMathematicsCircleMCQ+3 / −1

Consider

\,{L_1}:\,\,2x\,\, + \,\,3y\, + \,p\,\, - \,\,3 = 0\,{L_2}:\,\,2x\,\, + \,\,3y\, + \,p\,\, + \,\,3 = 0

where p is a real number, and

\,C:\,{x^2}\, + \,{y^2}\, + \,6x\, - 10y\, + \,30 = 0

STATEMENT-1 : If line

{L_1}

is a chord of circle C, then line

{L_2}

is not always a diameter of circle C and STATEMENT-2 : If line

{L_1}

is a diameter of circle C, then line

{L_2}

is not a chord of circle C.

A
Statement-1 is True, Statement-2 is True; Statement-2 is a correct rexplanation for Statement-1
B
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct rexplanation for Statement-1
C
Statement-1 is True, Statement-2 is False
D
Statement-1 is False, Statement-2 is True

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