Q3 of 112 Page 168

If the line segment joining the points A(3, 4) and B (14,– 3)meets the x–axis at P, then the ratio in which P divides the segment AB is

Here the line segment joining the points A(3, 4) and


B (14,– 3)meets the x–axis at P.


Therefore coordinates of P are


;where k1 and k2 are the ratio in which the line is divided.


Now,



⇒ ,


(here yp = 0 ∵ the line meets the x–axis at P)


⇒


⇒ –3k1 + 4k2 = 0


⇒ –3k1 = –4k2


⇒

More from this chapter

All 112 →
1

The midpoint of the line joining (a,– b) and (3a, 5b) is

 2

The point P which divides the line segment joining the points A(1,– 3)and B(–3, 9) internally in the ratio 1:3 is

 4

The centroid of the triangle with vertices at (–2,– 5), (–2,12) and (10, – 1)is

 5

If (1, 2), (4, 6), (x, 6)and (3, 2)are the vertices of a parallelogram taken in order, then the value of x is