KVPY Government Jobs Exams

Let H be the orthocenter of an acute - angled triangle ABC and O be its circumcenter. Then HA + HB+ HC

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KVPY Other Question

A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A
purse is chosen randomly and a coin is taken out of it. What is the probability that it is a copper coin The number of ordered pairs (m, n), where m, n ∈{1, 2, 3, …… ,50}, such that 6^m + 9^n is a multiple of 5 is –
(A) 1250 (B) 2500 (C) 625 (D) 500