Question

Aline intersects the y-axis and x-axis at the points P and Q
respectively. If (2,-5) is the mid-point of PQ, then find the
coordinates of P and Q.
​

Answer 1

Step-by-step explanation:

as P lies on y axis, its x co ordinate is zero

similarly

as Q lies on x axis, its y co ordinate is zero

let co ordinates of P be(0,y)

and co ordinates of Q be (x,0)

by mid point formula,

2= 0+x

2

4=x

-----------------

-5=y+0

2

-10=y

thus

co ordintes of P are (0,-10)

and that of Q are (4,0)

Answer 2

Answer:

let coordinates of P be(0,a)

coordinates of Q be(b,0)

coordinates of mid point=(x1+x2)/2 and (y1+y2)/2

(0+b)/2=2

b/2=2

b=4

a+0)/2=. -5

a = -10

coordinates of P= (0, -10)

coordinates of Q= (4,0)