NAT I Engineering Mathematics

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NAT I Engineering Mathematics

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NAT I Engineering Mathematics

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Question # 1

If 2 Sin x Cos 2 x = Sin x then?

Question # 2

Tan (π + Tan-1 x) =?

Question # 3

If 0 is not an integral multiple of π/2 then Cot4 θ+ Cot2 θ=?

Question # 4

If x2 +y2 = 4, Then dy/dx =

Question # 5

Given X, Y are any two sets such that number of elements in X=28, number of elements in set Y=28, and number of elements in set X∪Y=54, then number of elements in set X∩Y=

Question # 6

Sum of integers starting from to n is

Question # 7

If the sum of the roots of (a + 1)x2 + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

Question # 8

In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60o is

Question # 9

There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?

Question # 10

The equation of the circle with center origin and radius 2√2 is

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