Prove that:
3 cosec2 60o – 2 cot2 30o + sec2 45o = 0.
what is even number?
Factorize:
5 - (3a2 - 2a) (6 - 3a2 + 2a)
3. Factorize:
(3x - 2y)2 + 3 (3x - 2y) - 10
2. Factorize by taking out the common factors:
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
1.In triangle ABC, M is mid-point of AB and a straight line through M and parallel to BC cuts AC in N. Find the lengths of AN and MN if BC = 7 cm and AC = 5 cm.
4. 13 and 31 is a strange pair of numbers such that their squares 169 and 961 are also mirror images of each other. Find two more such pairs.
3. A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
2.Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.
1.Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?
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