Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test

Sr. # Questions Answers Choice
1 Domain of cosh x is R R -{0} [1,∞) [0,∞)
2 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
3 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)
4 The only function which is both even and odd is f(x) =α f(x) = x f(x) =0 Both A & B
5 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
6 An even function is symmetric about the line y = x x = 0 y = -x y = 0
7 If a tangent line touches the function y = f (x) in more than one point then y = f (x) is Periodic Surjective Bijective Injective
8 Composition of functions is Non-commutative (fg ≠ gf) non-associative [8(fh) ≠(8f)h] Commutative (fg = gf) f of-1≠ 1
9 x = secθ,y = tanθ are the parametric equations of Circle Hyperbola Ellipse parabola
10 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
11 The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called Constant function Polynomial function Identity function Linear function
12 f (x) = | x | is a/an Injective function Bijective function Surjective function Implicit function
13 Point (2,0) lies on trigonometric function f(x)=______; sinx cosx tanx secx
14 The domain of y = cos-1 x is -∞ < x < ∞ -1≤ x≤ 1 x≤ -1 or x ≥ 1 None of these
15 If f (x) is defined and continuous then f (x) is always Rational function Trigonometric function Logarithmic function All are correct
16 The domain and range of a trigonometric function can be allocate by their graph Continuity Discontinuity Periods
17 The trigonometric function are continuous whenever They are defined their limit exist Their period is given All are incorrect
18 The behavior of trigonometric function is called Continuity Discontinuity Periodicity Smoothness
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