Question

hey guys,

If (1,p/3) is the mid points of the line segment joing the points (2,0) and (0,2/9), the show that the line 5x+3y+2=0 passes through the points (-1,3p)

Answer 1

hey mate,

let (x2,y1) = A (2, 0)
(x2,y2) = B (0,2/9);

mid point of joining of A and B

= (x1 + x2/2, y1 + y2/2)
(1 , p/3). = (0+2/2,
0+2/9/2)
= (1, 119)

p/3 = 119
[therefore, if (a,b)=(c,d) then a=c and b=d]

p= 1/3 ------(1)

according to the problem given

put (-1,3p) in the equation 5x+3y+2=0

5(-1)+3×(3p)+2=0
-5+3×3(1/3)+2=0 [from(1)]
-5+3+2=0
0=0 (true)

therefore,
5x+3y+2=0 line passes through the point
(-3 , 3p)

ι нope тнιѕ нelpѕ yoυ!
@vaιвнav246