Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 f(x) = 3x4 -2x2 + 7 is: an even function an odd function an even and implicit function neither even nor a odd
2 f(x) = x3-x/x2+1 is : an even function an odd function an even and implicit function neither even nor a odd
3 cos h2 x + sin h2 x an even function an odd function an even and implicit function neither even nor a odd
4 f(x) = x3is: an odd function an even function an implicit function a quadratic funtion
5 f(x) = sin x is: an odd function an even function an implicit function an exponential function
6 A function f is said to be an even if f(-x) = 0 1 f(x) -f(x)
7 xy= 2 is: a constant function an identity function an improper function implicit function
8 A function of the form p(x)/Q(x) is called: Rational function Logarithmic function Exponential function Hyperbolic function
9 A function in which the variable appears as exponent is called: An identity function A logarithmic function an exponential function A rational function
10 Express the perimeter P of square as a function of its area A? P = 4√A P =√A P = 2A P =π√A
11 if f(x) = x3 -3x2 +5x -1, then f(-√2)= 7+7√2 3+3√2 -7-7√2 -3-3√2
12 If the function y=2x -3, what is the preimage of 11? 11 7 5 2
13 For f(x) = x2, what is the value of f(a) +f (-a) in terms of a? 3a2 2a2 2a -7a
14 For f(x) = x2 + px +1, if f(3) = 3 then P = 3/7 -2/5 -7/5 -7/3
15 The largest possible domain of the function:
y=√(x ) is:
 (0 ,∞) 12 (3 , 12) ( 3 ,∞)
16 What is range of the function g (x) =|x-3|? [0 ,∞ ) (0 ,∞) (-∞ ,3] [0,∞)
17 If x is an image of y under the function f. This can be written as y = f(x) f(x) = 0 x = f(y) f(y) =0
18 The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x2 + 5x -5 for x> 0 is 1 5 -5 -1
19 Every relation, which can be represented by a linear equation in two variables, represents a Relation Cartesian product Function Graph
20 ______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x) Leibniz Newton Euler None of these
21 If the domain of the function f: x⟶ 2x3+ 1 is {-1,2,3}, the range of the function is {3,2,5} {1,3,9} {-1,-2,-3} {3,9,19}
22 The domain of the function x/x2 -4 is given by R R + 2 [R - (<u>+</u>2) R-4
23 The domain the function : f(x) = x2 is given by R Set of all non-negative Real numbers R<sup>-1</sup> None of these
24 In the function f: A⟶B, the elements of a are called Images Pre-images ranges Parameters
25 The domain of y =√(x^2-9) is R (0 , +∞) (-∞ , -3 )∪ (3 , +∞) (0 ,∞)
26 If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that x is function of y y is a function of x y is independent variable x is real valued function
27 A function from A to B is denoted by f: A→ B f: B → A f: → A :B f → A→ B
28 if the value of the sphere, v =4/3πr2, then the which of the following statement is true? r is the function of v v is the function ofπ π is independent variable None of these
29 The locus of the centre of a circle which touches two given circles externally is: a hyperbola an ellipse a circle a parabola
30 An ellipse slides between two lines at right angles to one another. The locus of its centre is : a parabola an ellipse a circle a hyperbola
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