Question

Coordinates of A and B are (-3, a) and (1, a+4).
The midpoint of AB is P(-1, 1). Find the value of a'​

Answer 1

Answer:

-1

Step-by-step explanation:

According to the given question,

A = (-3,a) ; B = (1,a+4)

Mid point , P = (-1,1)

We know,

• Mid point (x1,y1) and (x2,y2) is

• M.P. = (x1+x2/2 ), (y1+y2/2)

Thus, putting the values we get,

• P = (-3+1/2),(a+a+4/2)

• P = (-2/2,2a+4/2)

• P = (-1, a+2)

Now, comparing with the given values we get,

• a+2 = 1

• a = 1-2

• a = -1

Thus value of a= -1 respectively.

Answer 2

Answer

A(-3 ,a) ; B(1,a+4) ; P(-1,1)

By applying Mid Point Theorm

# X = X1+X2/2

-1 = -3 + 1/2

-1 = - 2 /2

-1 = -1

# Y = Y1 + Y2/2

1 = a + a +4 /2

1 = 2a +4 /2

2 = 2a +4

2 - 4 = 2a

-2 = 2a

a = -1

So value of a = -1