Question

. Find coordinates of mid point of two given points P(–1,4) and Q (5,–2). बिंदुओं P(–1,4) and Q (5,–2) के मध्य बिंदु के निर्देशांक ज्ञात करो।​

Answer 1

This is ur required answer.......

Answer 2

Answer:

The coordinate of the mid point is (2 , 1)

Step-by-step explanation:

Sine the Coordinates of  P are -1, 4

Hence,

x1 = -1 & y1 = 4

Similarly,

x2 = 5 and y2 = -2

If we need to find the coordinate of the mid-point

then,

the midpoint divides the line in the same ratio

that is 1:1

Now,

Let the point of mid-point be 'M' and the coordinate of 'M' be "x" & "y"

According to the Section formulae ;

x = mx2 + nx1 / m + n

x = 1 * (5) + 1 * (-1) / 1 + 1

x = 5 - 1 / 2

x = 4 / 2

x = 2

and,

y = my2 + ny1 / m + n

y = 1 * (-2) + 1 * (4) / 1 + 1

y = -2 + 4 / 2

y = 2 / 2

y = 1

Therefore the coordinate of the mid point 'M' is (2 , 1)