Question

find the midpoint of line segment joining (2a,0) and (0,2b)

Answer 1

Answer:

(a, b) is the mid-point of (2a,0) and (0,2b).

Step-by-step explanation:

Explanation:

Given that, (2a , 0) and (0, 2a)

Formula to find the midpoint of two points,($x_1 , y_1$) and ($x_2, y_2$).

⇒( $\frac{x_1+x_2}{2}$ , $\frac{y_1 + y_2}{2}$)

• The midpoint of a line segment is known as the midpoint in geometry.

• It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

From the question we have,

$x_1 = 2a , y_1 = 0$ and $x_2 = 0 , y _ 2 = 2b$

Therefore, mid-point of (2a , 0) and (0, 2a),

⇒ $\frac{2a + 0}{2}$ , $\frac{0 + 2b}{2}$

⇒ (a, b)

Final answer:

Hence, (a, b) is the mid-point of (2a,0) and (0,2b).

#SPJ3