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