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 If x3+ ax2- a2x - a3is divided by x + a, then the remainder is 0 a<sup>3</sup> 2a<sup>3</sup> -2a<sup>3</sup>
2 If a polynomial P(x) is divided by x - a, then the remainder is P(o) P(-a) P(a) None of these
3 The quadratic formula is
4 The solution set of x2- 5x + 6 = 0 is {1, 3} {2, 3} {1, 2} None of these
5 5x3+ 3x - is a ______ Polynomial of degree 3 Polynomial of degree 2 Polynomial of degree 1 Polynomial of degree 0
6 Polynomial of degree 0 Polynomial of degree 2 Quadratic equation None of these
7 Linear equation Quadratic equation Cubic equation None of these
8 Polynomial of degree 0 Polynomial of degree 1 Polynomial of degree 2 Polynomial of degree n
9 w11= ______ 0 1 w w<sup>2</sup>
10 w-12= ______ 0 1 w w<sup>2</sup>
11 w4= ______ 0 1 w w<sup>2</sup>
12 w-1= ______ 0 1 w w<sup>2</sup>
13 w15= ______ 0 1 w w<sup>2</sup>
14 x4- 3x3+ 3x + 1 = 0 is called ______ Reciprocal equation Exponential equation Radical equation None of these
15 Reciprocal equation Exponential equation Radical equation None of these
16 41+x+ 41-x= 10 is called Reciprocal equation Exponential equation Radical equation None of these
17 Roots of the equation x2- x = 2 are {2, -1} {1, 0} {2, 1} {-2, 1}
18 Roots of the equation x2+ 7x + 12 = 0 are {3, -4} {-3, 4} {3, 4} {-3, -4}
19 Roots of the equation x2- 7x + 10 = 0 are {2, 5} {-2, 5} {2,5} {-2,-5}
20 If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are Real and negative Non-real with negative real parts Real and positive Nothing can be said
21 if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is -i 2 + i i 2 - i
22 If the roots of ax2 + b =0 are real and distinct then ab &gt; 0 a = 0 ab &lt; 0 a &gt; 0,b &gt; 0
23 If ax + bx + c =0 is satisfied by every value of x,then b = 0,c = 0 c = 0 b = 0 a = b = c = 0
24 Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always Positive Negative Real None of these
25 The roots of (x - a)(x - b) = ab x2 are always Real Depends upon a Depends upon b Depends upon a and b
26 Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then α = β αβ = 1 α = β α = 1
27 Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if c = 0 c = 0,b≠ 0 b = 0,c = 0 b = 0,c≠ 0
28 The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is a &gt; 0 a &lt; 0 a≠ 0 a≠ 0,b ≠ 0
29 The graph of a quadratic function is Circle Ellipse Parabola Hexagon
30 The roots of px2 - (p-q)x-q=0 are equal Irrational Rational Imaginary
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