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The mid-point of the line segment joining (2a, 4) and (–2, 2b) is (1, 2a + 1). The values of a and b are

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The mid-point of the line segment joining (2a, 4) and (–2, 2b) is (1, 2a + 1). The values of a and b are

(a) a = 3, b = –1

(b) a = 2, b = –3

(c) a = 3, b = –2

(d) a = 2, b = 3

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Correct option is (d) a = 2, b = 3

Midpoint of two points = \(\left(\frac{x_1 +x_2 }2, \frac{y_1 + y_2}2\right)\)

Given, midpoint of (2a, 4) and (−2, 2b) = (1, 2a+1)

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