In the given figure, O is the center of the circle. If ABOC is a rhombus, find the value of angle BAC.

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The sum of present ages of a brother and his younger sister is 16 years . If the product of their ages is 63. Find their ages. soln: Let the present age of brother = x and the present age of sister = yaccording to the first conditionx + y = 16or x = 16 ...
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n is an integer from 1 to 50, what is the probability that n(n+1) is (a) a multiple of 5? (b) a multiple of 6? Soln: For the number n(n+1) to be divisible by 6 means it should be divisible by 2 and 3 both. n(n+1) is always divisible by ...