Suppose A,B are two points on 2x−y+3=0 and P(1,2) is such that PA=PB . Then the mid-point of AB is
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a
−15,135
b
−75,95
c
75,−95
d
−75,−95
answer is A.
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Detailed Solution
In an Isosceles triangle median is the altitude Equation of AB=2x−y+3=0⇒ ΔPAD≅△PBD⇒D is foot of perpendicular ⇒ from P to AB α−12=β−2−1=−(2×1−1×2+3)4+1 α−12=β−2−1=−35⇒α=−15,β=135