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$Suppose A, B are two points on 2 x - y + 3 = 0 and P (1, 2) is such that P A = P B . Then the mid-point of A B is$

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−75,95

75,−95

−75,−95

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Correct option is A

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

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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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Ready to Test Your Skills?

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$Suppose A, B are two points on 2 x - y + 3 = 0 and P (1, 2) is such that P A = P B . Then the mid-point of A B is$