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The midpoint of the line segment joining A(2a, 4) and B(-2, 3b

Question

The midpoint of the line segment joining $A (2 a, 4)$ and $B (- 2, 3 b)$ is $C (1, 2 a + 1)$ . Find the values of a and b.

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The midpoint of the line segment joining

A (2 a, 4)

and

B (- 2, 3 b)

C (1, 2 a + 1)

. Find the values of a and b.

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Mid point of the line segment joining the points

A (2 a, 4)

and

B (- 2, 3 b)

C (1, 2 a + 1)

Mid point of

A B = ((2 a - 2) /2, (4 + 3 b) /2)

........

(1)

Mid point of

A B = (1, 2 a + 1)

.....

(2)

(given)

Now, from

(1)

and

(2)

1 = (2 a - 2) /2

\Rightarrow a = 2

and

2 a + 1 = (4 + 3 b) /2

10 - 4 = 3 b

b = 2

Answer:

a = 2

and

b = 2

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Question Text	The midpoint of the line segment joining $A (2 a, 4)$ and $B (- 2, 3 b)$ is $C (1, 2 a + 1)$ . Find the values of a and b.
Answer Type	Text solution:1
Upvotes	150