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Question
Two roads cross at right angles at O. One person A walking along one of the roads at 3 ms−1 sees another person B walking at 4 ms−1 along the other road at O, when he is 10 m off. The nearest distance between the two persons is
Two roads cross at right angles at O. One person A walking along one of the roads at 3 ms−1 sees another person B walking at 4 ms−1 along the other road at O, when he is 10 m off. The nearest distance between the two persons is
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Solution
The correct option is C 8m
x2=(10−3t)2+4t2
x=[(5t−6)2+64]12
for x to be least
(5t−6)=0⟹t=1.2s, x=8m
x2=(10−3t)2+4t2
x=[(5t−6)2+64]12
for x to be least
(5t−6)=0⟹t=1.2s, x=8m
(5t−6)=0⟹t=1.2s, x=8m
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