Question

a line segment is of length 10 cm if the coordinates of its one end are (2,-3) and that of the other end are (10,x) then x is ​

Answer 1

Answer:

x = 5

x = -11

Step-by-step explanation:

10 = √(10-2)² + ( x-(-3))²

10 = √(8)² + x² + 6x + 9

10 = √ x² + 6x +73

on squaring both sides

100 = x² + 6x + 73

0 = x² + 6x -55

0 = x² + 11x -5x + 55

0 = x(x +11) -5(x+11)

0 = (x-5) (x+11)

therefore,

x = 5

x = -11

Answer 2

Answer:

x= -9, 3

Step-by-step explanation:

√((x2-x1)²+(y2-y1)²)=10

√((10-2)²+(x-(-3))²)=10

√(8²+(x+3)²)=10

√(64+x²+9+6x)=10

on squaring both sides

x²+6x+73=100

x²+6x-27=0

x²+9x-3x-27=0

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

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

Therefore either x-3 is 0 or x+9 is 0

thus, x=3, -9