Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test

Sr. # Questions Answers Choice
1 0 -1-w<sup>2</sup>
2 Sum of all the four forth roots of unity is 1 -1 i 0
3 Each complex cube root of unity is square of itself 1 -1 the other
4 A polynomial P(x)has a factor (x-a)if P(a) = a x 1 0
5 If a polynomial p(x) is divided by x-c, then the remainder is p(x) x-c c P(c)
6 The synthetic division method is only used to divide a polynomial by quadratic equation binomial linear equation monomial
7 If x-2 and x-1 both are factors of x3-3x3+2x-4p, then P must equal to 1 2 0 -2
8 Which of the following is factor of x11+a11, where n is an odd integer x-a x+a 2x-a 2x+a
9 If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder 7 -2 6 1
10 (x-1) is a factor of 2x<sup>3</sup>-3x<sup>2</sup>+9 2x<sup>3</sup>-5x-8 48x<sup>2-</sup>46x-9 x<sup>9</sup>-1
11 Which of the following is factor of p(x) =2x3 +3x2+3x+2 ? x+1 2x+1 3x+1 2x-1
12 The maximum value of the quadratic function f(x) = 2x2-4x+7,is 3 5 -3 -5
13 The maximum value of the quadratic function f(x) = -2x2+20x,is 4 3 50 7
14 The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is (-3,10) (-3,-10) (3,10) (3,-10)
15 The vertex of the graph of the quadratic function f(x) = x2 -10, is (0 , -10) (-10,0) (10,0) (0,10)
16 The minimum value of the quadratic function f(x) = 5 x 2-11,is -11 6 -7 7
17 The minimum value of the quadratic function f(x) = x2 +6x -2, is 11 6 -11 13
18 The standard form of the quadratic function f(x) = -x2 +4x+2, is (x-2)<sup>2</sup>+6 -(x-2)<sup>2</sup> + 6 (x-3)<sup>2</sup>+5 (x+4)<sup>2</sup>-7
19 The standard parabolic form of the equation f(x) = x2 +4 x +1 is x(x+4)+1 (x+2)<sup>2</sup>-3 (x+4)<sup>3</sup> + 9 x(x-2)<sup>2</sup>+1
20 If f(x) = ax2, and a>0, then the lowest point on the parabola is called. Vertex of parabola Co-ordinates of parabola Roots of the equation Coefficient of the equation
21 If a parabola opens down, then its vertex is at the Right of the parabola Left of parabola Lowest point on the parabola Highest point on the parabola
22 The root of the quadratic equation are 3 2 1 4
23 In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is Straight line Circle Hyperbola Symmetric w.r.t.0
24 In quadratic equation y=ax3 +bx+c, if b and c are both zero then the graph is Symmetric w.r.t.y-axis Symmetric w.r.t.x-axis Straight Line Circle
25 In quadratic equation f(x) = ax2,if a >0, then the graph of parabola Opens up Opens down close up symmetric w.r.t.x.axis
26 The graph of the quadratic equation is Straight line Circle Parabola elipse
27 The solution of the quadratic equation x2 -7x + 10=0, is 2 5 2,5 7
28 the largest degree of the terms in the polynomials is called terms of the polynomial degree of a polynomial co-efficient monomial
29 The roots of the equation x2 +6x-7=0,are 1 2 1 and -7 -7
30 A quadratic equation has two roots degree variables constants
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