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Q10 of 45 Page 1

If vectors and are such that, and is a unit vector, then write the angle between and .

Given that,


Let θ be the angle between vector a and b.


Now,


⇒


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⇒


⇒


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29

A card from a pack of 52 playing cards is lost. From the remaining cards of the pack three cards are drawn at random (without replacement) and are found to be all spades. Find the probability of the lost card being a spade.

OR


From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs is drawn one by one with replacement. Find the probability distribution of number of defective bulbs. Hence find the mean of the distribution.

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Evaluate:

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Prove the following using properties of determinants:

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Differentiate with respect to

Questions · 45
Delhi-2014
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