Question

A point p is at a distance of 10 units from the point (2,3) find the point p if it’s y coordinate is 2 times the x coordinate

Answer 1

Answer:

A=(5.071 ,10.142 )

A=(-2.871,-5.742)

Step-by-step explanation:

let x coordinate be x

y co ordinate =2x

let point (2,3) be (x1,y1)

let point (x,2x) be (x2,y2)

D=√(x2-x1)^2+(y2-y1)^2

10=√(x-2)^2+(2x-3)^2

squaring both sides

100=x^2+4-4x +4x^2+9-12x

100-13=5x^2-16x

87=5x^2-16x

5x^2-16x-87=0

then splitting the middle term

x=16±√256+1740/10

=16±√1999/10

=16±44.71/10

=16+44.71/10 or 16-44.71/10

x=5.071 or -2.871

2x=10.142 or -5.742