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The mid point of the line …

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The mid point of the line segment joining (2a,4) and (-2,2b) is (1,2a+1).find the value of b?

  • 2 answers

Rashmi Bajpayee 7 years ago

Midpoint of two given points are 

{(x1 + x2)/2, (y1 + y2)/2}

According to question,

(2a - 2)/2 = 1

2a - 2 = 2

2a = 4

a = 2

Again, (4 + 2b)/2 = 2a + 1

4 + 2b = 4a + 2

2b = 4 × 2 + 2 - 4

2b = 8 - 2

b = 3

Shweta Gulati 7 years ago

Mid point = (x1+x2)/2 ; (y1+y2)/2

1 = (2a+1)/2

2 = 2a+1

2a = 1

a =1/2

2a+ 1 = (4+2b)/2

4a+2 = 4 +2b

4a-2 = 2b

2a-1 = b

1 - 1 =b

b=0

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