# If P (2, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y. - Mathematics

Short Note

If P (2, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.

#### Solution

It is given that mid-point of line segment joining A (6, 5) and B (4, y) is P (2, 6)

In general to find the mid-point P (x , y)  of two pointsA(x_1 , y_1) and B ( x_2 , y_2 )  we use section formula as,

P ( x ,  y) = (( x_1 + x_2) / 2 , ( y_1 + y_ 2) / 2)

So,

(2 , 6) = ((4+6)/2,(y + 5)/2)

Now equate the y component to get,

(y + 5) /2 = 6

So,

y = 7

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 6 Co-Ordinate Geometry
Q 23 | Page 62