Find the values of a and b, Mathematics

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The midpoint of the line joining (2a, 4) and (-2, 3b) is (1, 2a +1).Find the values of a & b. (Ans: a = 2, b = 2)

Ans :  A(2a, 4)           P(1, 2a + 1)                 B(-2, 3b)

2a - 2/2 = 1   & 4 + 3b/2 = 2a +1

We get a = 2 & b = 2.

 


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