Maths Maths Puzzle Numerical Ability Trigonometry

If cos2A + cos2B + cos2C = 1 then ABC is a
(a) Right angle triangle
(b) Equilateral triangle
(c) All the angles are acute
(d) None of these

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Maths Other Question

Find a 10-digit number where the first digit is how many zeros in the number, the second digit is how many 1s in the number etc. until the tenth digit which is how many 9s in the number.
Integrate 3x + 5 / (x3-x2-x+1)
(a) 1/2 log | (x+1)/(x-1) | - 4/(x-1)
(b) log |2+tanx|
(c) -(1+logx)/x
(d) 2 log|(tanx)/(tanx+2)