The midpoint of the line segment joining...

The midpoint of the line segment joining A(29,4) and B(-2,3b) is C(2a+1,1).Find the values of a and b.

Verified by Experts

points are `A(29,4)`
B` (-2,3b)`
C` (1,2a+1)`
so, `2a+1=(29 + (-2))/2= 27/2`
`2a = 27/2 - 1`
`2a = 25/2`
`a = 25/4`
`1 = (4+3b)/2`
...

Similar Questions

Explore conceptually related problems

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

The mid-point of the line segment joining A(2a, 4) and B(-2, 3b) is (1, 2a +1). Find the value of a and b.

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

The mid-point of the line segment joining (4a, 23) and (-4, 3b) is (2, -2a). Find the values of a and b

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

The midpoint of the line segment joining (2,3,-1 ), (4,5,3,) is

What is the midpoint of the line segment joining (-2,-1) and (-5,-3)?

If A (m/2, 5) is the midpoint of the line segment joining Q(-6, 7) and R(-2, 3), then find the value of m.

If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.

If P(-1,1) is the midpoint of the line segment joining A(-3,b) and B(1,b+4) then the value of b will be