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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. |
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Answer» Statement-1 is TRUE, statement-2 is true, and statement-2 is CORRECT explanation for statement-1 . `-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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