Question

The length of a line segment is 10. If one end point is (2,-3) and the abscissa of the second end point is 10 , show that its ordinate is either 3 or -9

Answer 1

Question.....


The length of a line segment is 10. If one end point is (2,-3) and the abscissa of the second end point is 10 , show that its ordinate is either 3 or -9





Hey mate here's the Solution......



Solution.......

Here,


Coordinates are (2,-3) and

(10,y)

and x2 = 10 , y2 = y & x1= 2 and y1 = -3

By distance Formula....


√(x2-x1)²+(y2-y1)² = 10

√(10-2)²+(y+3)²

√8²+y²+9+6y = 10

64+9+y²+6y= 100

y²+6y= 100-73 = 27

y²-6y-27=0

we get an equation,

By solving it.....

y²-9y+3y-27=0

y(y-9)+3(y-9)= 0

(y-9)(y+3)= 0

By this.....

y-9=0 and y+3=0

y = 9 and y = -3

So, the value of y(ordinate) is 9 or -3

Hence Proved.....