1.

Consider the lines L:(k+7)x-(k-1)y-(k-5)=0 where k is a parameter and the circle C:x^(2)+y^(2)+4x12y-60=0 Statement-1: Every member of L inttersects the circle 'C" at an angle of90^(@) Statement-2: Every member of L is tangent to the circle C.

Answer»

Statement-1 is TRUE, statement-2 is true, and statement-2 is CORRECT explanation for statement-1 .
Statement-1 is true, statement-2 is true, and statement-2 is NOT the correct explanation for statement-1.
Statement-1is true, statement-2 is false.
Statement-1 is false, statement-2 is true.

Solution :Center `(-2,-6)`. Substituting in L
`-2(k+7)+6(k-1)-4(k-5)=(-2k+6k-4k)-14-6+20`
Hence EVERY member of L passing through the centre of the circle`""IMPLIES""`cuts it at `90^(@)`.
Hence S-1 is true and S-2 is false.


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