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If the lines L1:2x-3y-6=0,L2: x+y-4=0 an...

If the lines `L_1:2x-3y-6=0,L_2: x+y-4=0` and `L_3: x+2` and `tanA ,tanB` and `tanC` are the roots of the equation `a x^3+b x^2+c x-15=0` then `a=3` (b) `b=-15` `c=28` (d) `a+b+c=15`

A

`sum tan A = 15/2`

B

`sum tan A tan B = 14`

C

`tanA tan B tan C = 15/2`

D

equation whose roots are `tan A, tan B, tan C` is `2x^(3)- 15x^(2) +28x -15 =0`

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