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If the points P(alpha,0) and Q(0,beta) a...

If the points `P(alpha,0) and Q(0,beta)` always lies inside sthe Delta formed by the lines `2x-3y-6=0,3x-y+3=0 and 3x+4y-12=0` then

A

`alpha epsilon [-1,2],beta epsilon[-2,3]`

B

`alpha epsilon [-1,3],beta epsilon[-2,4]`

C

`alpha epsilon [-2,4],beta epsilon[-3,4]`

D

`alpha epsilon [-1,3],beta epsilon[-2,3]`

Text Solution

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The correct Answer is:
D
The graph for the lines `2x-3y-6=0,3x-y+3=0 and 3x+4y-12=0` is as given below
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