Question

11. To divide a line segment AB in the ratio 5:6, a ray is drawn such that ZBAX is an acute
angle and points A1, A2, A3, so on, are located at equal distances on the ray AX. Name the
point to which B is joined.
​

Answer 1

Answer:

The ratio is 5:6

Therefore, total number of divisons on BY and AX is 5+6=11.

ΔAOX and BOY are similar, since AX∥BY

⇒∠X=Y and ∠A=B

∴

no. of divisions onA

no. of divisions onB

=

5

6

⇒ number of divisions on B

⇒ number of divisions on B=

5

6

× number of divisions in A

⇒

5

6

×5=6

So, A

5

should be joined to B

6

.