Which of the following straight lines are both tangent to the circle \(x ^ 2 + y ^ 2 - 6x + 4y - 12 = 0\)?
Question and options
Which of the following straight lines are both tangent to the circle ?
Answer and explanation
Correct answer: A - \(4x+3y+19=0, 4x+3y-31=0\)
Centre (3,-2), r^2=9+4+12=25, r=5. For 4x+3y+c=0, distance |12-6+c|/5 = 5 gives |6+c|=25, so c=19 or c=-31: 4x+3y+19=0 and 4x+3y-31=0.
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IPMAT Indore
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