ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The number of arbitrary constants in the general solution of a differential equation is equal to the different equation Order Degree Variables All are correct
2 The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is 1.2% 1.5% 0.16% 100.16%
3 ∛8.6 is approximately equal to 2.488 2.48 2.0488 2.05
4 The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is 0.4cm 8.8πcm 17.6 πcm 35.2πcm
5 f(x)g(x)- ∫g(x) f′(x) dx is equal to ∫f(x)g′(x)dx ∫f′(x)g(x)dx ∫f′(x)g(x)′dx ∫f(x)g(x)dx
6 The area bounded by y = x (x2 - 4) and below x - axis is 4 0 -4 8
7 Archimedes approximate the function by horizontal function and the area under f by the sum of small Parallelograms Squares Retangles Polygons
8 The range of function f(x)=-x2+2x-1 is R (-∞,0] (-∞,1] [0,∞)
9 Inverse of the function y-10x is y=logx y=lnx x=10y x=10y
10 If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is α c b d
11 x = r2, y = 1 are the parametric equation of Circle Hyperbola Ellipse Parabola
12 The set of points {(x,y)|y = f(x),∀x∈} is called Relation Graph of f Function All are correct
13 If f (x) = 2x+1 then fof (x) = _______; 4x+3 2x +3 4x +1 None of these
14 The function f(x) =|x| is a/an_______function Even Odd Both even as well as odd Neither even nor odd
15 Domain of cosh x is R R -{0} [1,∞) [0,∞)
16 The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x) I & III I & IV II & IV II & III
17 The curve f(x,y) = 0 has a central symmetry if f(-x,-y)=f(x,y) f(x,-y)=f(x,y) f(-x,y)=f(x,y) f(-x,-y)≠f(x,y)
18 The only function which is both even and odd is f(x) =α f(x) = x f(x) =0 Both A & B
19 The range of the function f : x→ y is defined by {x| y = f (x) ∀x∈ X ∧y∈y} {(x,y) |y = f (x)∀x∈ X} {y|y = f (x) ∀x∈ X ∧y∈y} Y
20 An even function is symmetric about the line y = x x = 0 y = -x y = 0
21 If a tangent line touches the function y = f (x) in more than one point then y = f (x) is Periodic Surjective Bijective Injective
22 Composition of functions is Non-commutative (fg ≠ gf) non-associative [8(fh) ≠(8f)h] Commutative (fg = gf) f of-1≠ 1
23 x = secθ,y = tanθ are the parametric equations of Circle Hyperbola Ellipse parabola
24 The range of y=x2 + 1 is the set of non-negative real numbers except 0≤ y < 1 0 < y < 1 0≤ y≤ 1 0 < y≤1
25 The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called Constant function Polynomial function Identity function Linear function
26 f (x) = | x | is a/an Injective function Bijective function Surjective function Implicit function
27 Point (2,0) lies on trigonometric function f(x)=______; sinx cosx tanx secx
28 The domain of y = cos-1 x is -∞ < x < ∞ -1≤ x≤ 1 x≤ -1 or x ≥ 1 None of these
29 For any equilateral r :R :η :r1 :r2 :r3 = 1:2:3:4:5 1:2:3:3:3 1:2:4:4:4 2:1 :2 :2 :2
30 Area of inscribed circle is π R2 π η2 π r22 π r2
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