Question

point P and Q are both in the line segment AB and on the same side of its midpoint . P divides AB in ratio 2:3 , and Q divides AB in ratio 3:4. if PQ =2 , then the length of AB is 14xk . find k ​

Answer 1

Step-by-step explanation:

Given

AB divides of the line =AB=2:3

Q divides of line=AB=3:4The distance between P and Q=2cm

we have to find the length of AB=?AP=2x+3x=5x

AQ+QB=3x+4x=7x

LCM tx and 7x=35x

AP+PQ=AQ 2x+2x=3x

3x-2x=2xx=2x

the length of AB=3x35X2CM=70

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