Points A and B have co-ordinates (3, 5) and (x, y) respectively. The mid-point of AB is (2, 3). Find the values of x and y.

Open in App

Solution

Given

The mid-point of AB is (2, 3).

applying mid point theoram

$2 equals fraction numerator 3 plus x over denominator 2 end fraction 4 equals 3 plus x x equals 1 a l s o 3 equals fraction numerator 5 plus y over denominator 2 end fraction 6 equals 5 plus y y equals 1$

Suggest Corrections

Similar questions

A and B are two points on the x-axis and y-axis respectively. P(2, -3) is the mid point of AB. Find the

(i) co-ordinates of A and B

(ii) slope of line AB

(iii) equation of line AB.

\frac{Δ P B C}{Δ A B C} :

Points A and B have co-ordinates (3, –1) and (1, –5) respectively. Find:

i) the slope of AB

ii) the equation of the right bisector of the segment AB.

-

The mid point of 2 co-ordinates (x,y) and (a,b) is

Join BYJU'S Learning Program