Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the ratio 3:4. If AB=2, then the length of PQ is?

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
70

The equations that can be formed by the given conditions are 3y-2x=2 and 3x-4y=2. Solving we get y=10.
Therefore, PQ=70 units

Suggest Corrections

Similar questions

Q. Points P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio

2 : 3

, and Q divides AB in the ratio 3:4. If PQ=2, then find the length of the line segment AB.

Points P and Q are in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2:3 and Q divides AB in the ratio 3:4. If $P Q = 2 c m,$ then find the length of the line segment AB.

Q. If AP : PQ = 1 : 2 and PQ : QB = 4 : 5, then Q divides line segment AB in the ratio .

If AP:PQ = 1:2 and PQ:QB = 4:5, then Q divides line segment AB in the ratio of?

Q. The position vectors of the points

A, B

and

C

are respectively

\to a, \to b

and

\to c .

P

divides

- - \to A B

in the ratio

3 : 4

and

Q

divides

- - \to B C

in the ratio

2 : 1

both externally, then

- - \to P Q

Join BYJU'S Learning Program

Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the ratio 3:4. If AB=2, then the length of PQ is?

The correct option is A 70 The equations that can be formed by the given conditions are 3y-2x=2 and 3x-4y=2. Solving we get y=10. Therefore, PQ=70 units

The correct option is A
70

The equations that can be formed by the given conditions are 3y-2x=2 and 3x-4y=2. Solving we get y=10.
Therefore, PQ=70 units