Q.

If  Ap,p2 falls inside the angle made by the lines  x−2y=0 and 3x−y=0 , x>0  then p belong to

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a

3, ∞

b

0, 12

c

12, 3

d

−3, −12

answer is C.

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Detailed Solution

If a point  Ax1,y1 lies inside the angle made by the lines L1=0,L2=0  then  LA⋅LB<0Hence,  LA⋅LB=p−2p23p−p2<0Simplify 1−2p3−p<0p−12p−3<0 Therefore, the range of  p is 12,3
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If  Ap,p2 falls inside the angle made by the lines  x−2y=0 and 3x−y=0 , x>0  then p belong to