ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 e-radii are denoted by η r2 r3 All of these
2 In-radius is denoted by r η r2 R
3 A circle which touches one side of a triangle extermally and the other two sides produced is called In-circle Circumcircle e-circle Point circle
4 A circle drawn inside a triangle and touching its sides is called ______; Circumcirle Incircle Escribed circle unit circle
5 A circle passing through the vertices of any triangle is called Circumcirle Incircle Escribed circle Unit circle
6 graph of trigonometric function y = sec x does not meet x - axis y -axis both axis None of these
7 graph of sine function is bounded between lines y± 1 = 0 x± 1 = 0 x± y - 0 None of these
8 If f (x) is defined and continuous then f (x) is always Rational function Trigonometric function Logarithmic function All are correct
9 The domain and range of a trigonometric function can be allocate by their graph Continuity Discontinuity Periods
10 The trigonometric function are continuous whenever They are defined their limit exist Their period is given All are incorrect
11 The behavior of trigonometric function is called Continuity Discontinuity Periodicity Smoothness
12 The number of x-intercepts of y= sin x in his period 0 1 2 3
13 The period of the trigonometric function y = sin x cos x is 2π π 4π π / 2
14 1+3x+6x2 +10x3 +....= (1+x)-3 (1-x)-2 (1-x)-3 (1+x)-2
15 The general term in the expansion of (a+x)n is (r-1)th term (r+1)th term rth term none
16 If the sum of even coefficients in the expansion of (1+x)n is 128 then n=7 n=9 n=8 None
17 The sum of first n even number is n2 n(n+1) n+1 n+2
18 The third term in the expansion of (1+2x) is -2x2 -4x2 2x2 4x2
19 If n∈Z+ then(a+x)n is a/an Finite series Convergent series Infinite series Divergent series
20 The proposition S(k+1) is true when ______ is true∀K∈N S(n) S(k) S(1) S(k-1)
21 If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to 1 4 2 8
22 The exponent of x in 10th term in the expansion of (a+x)n 10 12 11 9
23 In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n= 12 n=14 17 n=15
24 The last term of (1+2x)-2 (-1)-2 (2x)-2 (-1)-4(-2x)-2 (-1)-3(2x)-3 Does not exist
25 The no of term is the expansion of (a+x)n-1 is n+1 n-1 n n-2
26 There are two middle terms in the expansion of (a+x)n if n is Even +ve integer +ve integer Odd +ve integer All
27 The coefficient of xn in the expansion of (1-x)-1 is (-1)n2n 1 (-1)n(n+1) (n+1)
28 The middle term(s) of (a+x)11 is 6th term 6thor 7th 7th term 6thand7th
29 The proposition S(n) for any n∈ N is only true if k∈ N and S(k +1) is true S(1) is true and S(k+1) is true whenever S (k) is true S(k+1) is true whenever S (k) is true S(k) is true
30 For any positive integer n ABn = Bn A ⇔ AB = BA ABn = Bn A⇔ A,B are square matrices and AB = BA ABn = BnA⇔ A + B ABn = BnA ⇔ A and B are square matries
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