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

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Solution

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= 70CM

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

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= 70CM

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= 70CM