Question

if a(-4,-1) and b (-2,-5) are the two points ,the coordinates of the middle point of the line segment ab is

Answer 1

Step-by-step explanation:

Correct option is

B

(5,−6)

Given that, the coordinates of the midpoint of line segment AB are (1,−2). Also, coordinates of A are (−3,2).

To find out: Coordinates of B.

Let the coordinates of B be (a,b)

We know that,

Midpoint of two points (x1,y1) and (x2,y2) is  calculated by the formula (2x1+x2,2y1+y2)

Hence, midpoint of AB=(2−3+a,22+b)=(1,−2)

⇒2−3+a=1;22+b=−2

⇒−3+a=2;2+b=−4

∴ a=5;b=−6

Hence, the coordinates of B are (5,−6).

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