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Points P and Q are both …

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Points P and Q are both in the line segmemt 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 the length of side AB is 14xk, find k.

Posted by Archana Sharma 6 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Rishu Raj 6 years, 3 months ago

P(x)=2x2+3x2/5, y=2y2+3y2/5 Q(x)=3x2+4x2/7. Y=3y2+4y1/7 4={7(2x2+3x2+3x1)-5(3x2+4x1)}² /35 +[7(2y2+3y1)-5(3y2+4y1)}² /35 4=1/1225[x1²+x2²-2x1x2+y1²+y2²-2y1y2] 4900=[0+(14×k)²-0+00] 4900=196×k² K²=4900/196 K=5

1Thank You

Rishu Raj 6 years, 3 months ago

K=5

2Thank You

Dev Patel 6 years, 3 months ago

2Thank You

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CBSE > Class 10 > Mathematics