ECAT Mathematics Chapter 6 online mcq test with answers for chapter 6 (Quadratic Equations)

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ECAT Mathematics Chapter 6 Important MCQ's

Sr.#	Question	Answer
1	Roots of the equation x²+ 5x - 1 = 0 are	A. Rational B. Irrational C. Complex D. None of these
2	Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?	A. x+1 B. 2x+1 C. 3x+1 D. 2x-1
3	w⁴= ______	A. 0 B. 1 C. w D. w²
4	Which of the following is a factor of x³- 3x²+ 2x - 6	A. x + 2 B. x + 3 C. x - 3 D. x - 4
5	5x³+ 3x - is a ______	A. Polynomial of degree 3 B. Polynomial of degree 2 C. Polynomial of degree 1 D. Polynomial of degree 0
6	The vertex of the graph of the quadratic function f(x) = x2 -10, is	A. (0 , -10) B. (-10,0) C. (10,0) D. (0,10)
7	For the equation \|x²\| + \|x\| -6 =0, the roots are	A. One and only one real number B. Real with sum one C. Real with sum zero D. Real with product zero
8	Ifα,βare the roots of ax²+ bx + c = 0 andα+ h,β+ h are the roots of px²+ qx + r=0, then h =
9	w^-1= ______	A. 0 B. 1 C. w D. w²
10		A. c/a B. -c/a C. b/a D. -b/a

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ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 6 (Quadratic Equations)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 6 Quadratic Equations

ECAT (Pre-Eng) Mathematics Chapter 6 Quadratic Equations

the largest degree of the terms in the polynomials is called

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

The cube roots of 8 are

If the roots of ax2 + b =0 are real and distinct then

The roots of the equations will be equal if b2- 4ac is

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

41+x+ 41-x= 10 is called

If ax2+ bx + x = 0 is satisfied by every value of x, then

Find a if 1 is a root of the equation x2+ ax + 2 = 0

The roots of the equation will be irrational if b2- 4ac is

If x3+ ax2- a2x - a3is divided by x + a, then the remainder is

The set of real roots of the equation log(5x + 4)(2x +3)3- log(2x + 3)(10x2+ 23x + 12) = 1 is

w15= ______

If one root of the equation ix2- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is

x4- 3x3+ 3x + 1 = 0 is called ______

Sum of all the four forth roots of unity is

Which of the following is a factor of x3- 3x2+ 2x - 6

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

w28+ w38= ______

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

If w is a cube root of unity then 1 + w + w2= ______

In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

Root of the equation 3x-1+ 31-x= is

The minimum value of the quadratic function f(x) = x2 +6x -2, is

The equation (cos p - 1)x2+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

A quadratic equation in x is an equation that can be witten in the form

Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then

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ECAT Mathematics Chapter 6 Important MCQ's

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The roots of the equations will be equal if b²- 4ac is

4^1+x+ 4^1-x= 10 is called

If ax²+ bx + x = 0 is satisfied by every value of x, then

Find a if 1 is a root of the equation x²+ ax + 2 = 0

The roots of the equation will be irrational if b²- 4ac is

If x³+ ax²- a²x - a³is divided by x + a, then the remainder is

The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

w¹⁵= ______

If one root of the equation ix²- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is

x⁴- 3x³+ 3x + 1 = 0 is called ______

Which of the following is a factor of x³- 3x²+ 2x - 6

w²⁸+ w³⁸= ______

If w is a cube root of unity then 1 + w + w²= ______

Root of the equation 3^x-1+ 3^1-x= is

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval