Question

find the ratio in which the point P (2, x )divides the line joining the point A - 2, 2 and b3,7 internally also find the value of x​

Answer 1

Step-by-step explanation:

By section formula,

x = ( m1x2 - m2x1 ) / ( m1 + m2 )

2 = ( 3m1 - 2m2 ) / ( m1 + m2 )

2m1 + 2m2 = 3m1 - 2m2

-m1 = -4m2

Therefore, Ratio = m1 / m2 = 1/4

y =( m1y2 - m2y1 ) / ( m1 + m2 )

x =( 1×7 - 4×2 ) / ( 1+4)

x = ( 7 - 8 ) / ( 5 )

x = - 1/5