Question

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.
​

Answer 1

Since A is on x-axis so y coordinate is zero

Let A be (x , 0)

Since B is on y-axis so x coordinate is zero

Let A be (0 , y)

Now mid point of AB has coordinate : -

(x + 0)/2 , (0 + y) /2

(x + 0)/2 = 2

x = 4

(0 + y) /2 = - 3

y = - 6

Coordinate of A :-

(4,0)

Coordinate of B :-

(0, - 6)

Slope of AB :-

you can find yourself by formula

Equation of line :-

you can find yourself by formula

Answered by an IIT JEE ASPIRANT and all India mathematics OLYMPIAD TOPPER in class 10th