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Q.

If lines 2x3y+6=0 and  kx+2y+12=0 cut the coordinate axes in the concylic points, then the value of k is 

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Detailed Solution

 

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2x3y+6=0 meets the axes at A3,0 and B0,2. kx+2y+12=0 meets the axes at the D0,6 and C12/k,0.OA×OC=OB×OD

3×12/k=2×6

k=3

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