Question

find the coordinates of the point on a
- axis which divides the line segment
joining the points (2,3) and (5,6) in
the ratio 1:2​

Answer 1

Answer:

1:2 is equal to 90 degree

1x + 2x = 90

Answer 2

Answer

The coordinates of the point dividing the line joining the given points are

( x, y) = (11 by 3, 14 by 3)

step by step explanation

we have given the coordinates of two points.

Let the two points be A, B.

• A = (3,4) = ( x¹, y¹)
• B = ( 5,6) = (x², y²)

We have to find the coordinates of the points which divides the line joining A & B in the ratio 1 : 2.

Let the point be C.

• C = (x, y)
• Ratio = m : n = 1 : 2

Now, by section formula,

x = mx2 + nx1

____________

m + n

››››› x = 1×5 + 2 ×3

1+ 2

››››››› x = 5 + 6

3

››››››››› x = 11 by 3

Now, by section formula,

y = 1× 6 + 2× 4

1 + 2

››››››› y = 6 + 8

3

››››››› y = 14 by 3

Therefore the coordinates of the point dividing the line joining the given points are

(x, y ) = (11 by 3, 14 by 3

HOPE IT HELPS YOU