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Maths Practice Questions & Answers

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The possible solution(s) of the equation $tan x +\frac{1}{cosx}=2cos x$, lying in the interval $0\leq x \leq 2\pi$ are :

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The possible solution(s) of the equation $tan x +\frac{1}{cosx}=2cos x$, lying in the interval $0\leq x \leq 2\pi$ are :
1). 3
2). 2
3). 1
4). 4

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Does $lim_{x\hookrightarrow0}\frac{tanx-x}{x^{2}tanx}$ exist ? If it does, then the value of this limit is:

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Does $lim_{x\hookrightarrow0}\frac{tanx-x}{x^{2}tanx}$ exist ? If it does, then the value of this limit is:
1). $\frac{1}{3}$
2). Such value does not exist
3). 1
4). $\frac{1}{2}$

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The number of words that can be formed by using the letters of the word ‘MATHEMATICS’’ that start as well as end with T is:

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The number of words that can be formed by using the letters of the word ‘MATHEMATICS’’ that start as well as end
with T is:
1). 90,720
2). 20,860
3). 80,720
4). 37,528

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The possible number of relations from a set A= { u,v,w} to a set B = { x,y} is:

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The possible number of relations from a set A= { u,v,w} to a set B = { x,y} is:
1). 64
2). 6
3). 32
4). 16

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If (1,5, 0), (1,5, 6) and (-1,6) are the midpoints of the sides of a triangle, then the in - centre of the triangle is at coordinates:

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If (1,5, 0), (1,5, 6) and (-1,6) are the midpoints of the sides of a triangle, then the in - centre of the triangle is at coordinates:
1). (1, 2)
2). (3, 1)
3). (2, 4)
4). (2, 3)