Home
Class 10
MATHS
A, B and C are collinear, and B is betwe...

A, B and C are collinear, and B is between A and C.The ratio of AB to AC is 2:5. If A is at (-6,9) and B is at (-2,3), what are the coordinates of point C?

Text Solution

Verified by Experts

Here, ratio of `AB` to `AC` is `2:5`.
`:. B` divides `AC` into `2:3` ratio.
Let `(x,y)` are the coordinates of `C`.
Then,
`(2(x)+3(-6))/(2+3) = -2 and (2(y)+3(9))/(2+3) = 3`
`=>(2x+(-18))/5 = -2 and (2y+27)/5 = 3`
`=>2x = -10+18 and y = 2y = 15-27`
`=>x = 4 and y = -6`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

A, B and C are three collinear points, where A (3, 4) and B (7, 7) . If distance between A and C is 10 units, find the coordinates of C.

Let A(2,-1,4) and B(0,2,-3) be the points and C be a point on AB produced such that 2AC=3AB , then the coordinates of C are

Let A(2,-1,4) and B(0,2,-3) be the points and C be a point on AB produced such that 2AC=3AB , then the coordinates of C are

If A and B are the points (-3,4) and (2, 1), then the coordinates of the point C on AB produced such that AC-2BC are

A point C divides the line AC, where A(1, 3) and B(2, 7) in the ratio of 3:4 . The coordinates of C are

A and B are two points and C is any point collinear with A and B .If AB=10, BC =5, then AC is equal to :

If points A(2,a,3), B(3,-5,b) and C(-1,11,9) are collinear then value of a + b is

If the point A, B, C, D are collinear asnd C, D divide AB in the ratios 2:3, -2:3 respectively, then the ratio in which AS divides CD is