Question

find the ratio in which the line 2x+y=4 divides the line segment joining the points p (2,-2) and q(3,7) PliZ solve

Answer 1

Let the ratio be a:1 
X = ( 3a + 2 ) / a + 1
Y = ( 7a - 2 ) / a + 1
2x + y - 4 = 0
after putting value of x and y ...it'll be
 [2 ( 3a + 2 ) + 7a - 2 ] / a+1  = 4
=>  6a + 4 + 7a- 2  = 4a + 4
=>  9a = 2
=>  a = 2 / 9 
∴ the ratie will be 2:9