ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The derivative of√x at x =a is: 1/2a 2 / √a 2√x 1 / 2√x
2 If∱(x) = 2x3 + 1 then∱1(0) = 0 1 6 None of these
3 If x =1 -t2 and y =3t2 - 2t3 then dy/dx = (1-t) 3(1+t) 3(t-1) 3/1-t
4 If x = at2 and y = 2at then dy/dx = 2a/y y/2a -a/2y -2y/a
5 If x2 + y2 = 1, then dy/dx y/x -x/y 1/x None of these
6 If 3x + 4y +7 = 0 , then dy / dx = <div>-1/2</div> -4/3 7/2 -3/4
7 If y = (7x + 9)2, then dy/dx equals: 98x +126 14x 14x +18 14x+81
8 ∱(x) = ax2-3x -5, and∱1 (2) = 9, a is equal to 2 3 -2 4
9 If c is a constant, then d/dx (c) = 0 c cx 1
10 If∱(x) = x-100the value of∱1 (1) is: 100 -100 0 -101
11 The derivative of 1/xm is: x<sup>m+1</sup>/ m m(x)<sup>m-1</sup> (m-1) x<sup>-m</sup> m/x<sup>m+1</sup>
12 If∱(x) = x5 + x3 + x the value of∱1(1) is: 0 8 5 9
13 If y=xmthen dy/dx equals: mx x/m mx<sup>m-1</sup> xm<sup>m-1</sup>
14 d/dx(x3 + 2x +3)= x<sup>2 </sup>+ 2 3x + 2 3x<sup>2 </sup>+ 5 3x2 + 2
15 If y = 1/x2 then dy/dx equals: -2x x<sup>-3</sup> -2/x<sup>3</sup> -2x<sup>3</sup>
16 if y=x2 then dy/dx equals: 2x x/2 2x<sup>3</sup> x<sup>3</sup>/2
17 If f(x) = c then∱1(x) equals: 1 0 cx c
18 If y = xnthen dy/dx equals: nx x<sup>n-1</sup> nx<sup>n-1</sup> n
19 if x∈ D∱ and∱1(x) exists, then∱ is said to be zero at x Differentiable at x Continuous at x None of these
20 Let∫ be real valued function continuous in the interval (x,x1)⊆ D∫ (the domain of∫),
then∱(x1) -∱ (x)/x1-x represents:
 Instantaneous rate Average rate of change Differential coefficient None of these
21 The graph of y> 0 is the upper - half of: y-axis x-axis 1st and 4th quandrant 2nd and 3rd quadrant
22 The corner point of the boundary lines, x- 2x
x+2y=10 is:
 (8,1) (1,8) (6,10) (3,5)
23 The corner point of the boundary lines, x-2y
2x + y = 2 is:
 (2,6) (6,2) (-2,2) (2,-2)
24 A point of a solution regions where two of its boundary lines intersect, is called: Vertex of the solution Feasible point Point of inequality Null point of the solution region
25 For graphing a linear inequality, solid line is drawn if the inequality involves the symbols: &gt; or &lt; <u>&gt;</u> or <u>&lt;</u> = or≠ = or &gt;
26 Which of the following ordered pair is a solution of the inequality x+2y<6? (2,3) (2,2) (6,0) (1,1)
27 The liner equation ax + by = c is called _________ of the inequality ax +by > c. Associated equation Non-associated equation disjoint equation Feasible equation
28 A ________ divides the plane into left and right half planes. Vertical line Horizontal line Non vertical line Inequality
29 The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called Half planes Boundary Linear Inequalities Feasible regions
30 The graph of the linear equation of the form ax =by = c is a line which divided the plane into: Two similar regions Two disjoint regions Four equal parts One region
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