Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
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6 If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in A. P. G. P. H. P. None of these
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8 x<sup>-2</sup>+ c not possible
9 a<sup>x</sup>In a + c a<sup>x</sup>+ c x a<sup>x</sup>+ c
10 H1, H2, H3, .... Hnare called n harmonic means between a and b if a, H1, H2, H3, ... Hnb are in H.P. G.P. A.P. None of these
11 A number H is said to be the H.M. between a and b if a, H, b are in A.P. G. P. H. P. None of these
12 e<sup>x</sup>+ c e<sup>-x</sup>+ c x e<sup>x</sup>+ c not possible
13 H.M. between 3 and 7 is
14 cosec x + c -cosec x + c -sec x + c sec x + c
15 The harmonic mean between a and b is
16 cosec x + c -cosec x + c -sec x + c sec x + c
17 cot x + c tan x + c -cot x + c -tan x + c
18 1 + tan<sup>2</sup>x + c tan x + c -tan x + c cot x + c
19 an A.P. a G.P. a H.P. None of these
20 sin x + c -sin x + c cos x + c -cos x + c
21 cos x + c -sin x + c -cos x + c sin x + c
22 No term of a harmonic sequence can be 0 1 2 3
23 A sequence of number whose reciprocals form an arithmetic sequence is called Geometric sequence Arithmetic series Harmonic sequence Harmonic series
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25 Find the sum of the infinite geometric series 2 + 1 + 0.5 + .... 3.5 3 4 None of these
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28 0 1 2 3
29 The series obtained by adding the terms of a geometric sequence is called Infinite series Arithmetic series Geometric series Harmonic series
30 The sum of an infinite geometric series exist if | r | &lt; 1 | r | &gt; 1 r = 1 r = -1
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