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	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)
2
3	If one root of the equation x²- 3x + a = 0 is 2 then a = ______	A. 0 B. 1 C. 2 D. 3
4	The expression x2 - x + 1 has	A. One proper linear factor B. No proper linear factor C. Two proper linear factors D. None of these
5	w⁴= ______	A. 0 B. 1 C. w D. w²
6	Sum of all the four forth roots of unity is	A. 1 B. -1 C. i D. 0
7
8		A. Two real roots B. Two positive roots C. Two negative roots D. One positive and one negative root
9	If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is	A. 0 B. ±1 C. ±5 D. ±7
10	The roots of px2 - (p-q)x-q=0 are	A. equal B. Irrational C. Rational D. Imaginary

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ECAT Pre Engineering MCQ Test With Answer for Chapter 6 Mathematics

MCQ's Test For ECAT Mathematics Chapter 6 Quadratic Equations

ECAT Mathematics Chapter 6 Quadratic Equations

The two parts into which 57 should be divided so that their product is 782 are

If a polynomial P(x) is divided by x - a, then the remainder is

The roots of the equation ax2+ bx + x = 0 are real and distinct if

Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

The standard parabolic form of the equation f(x) = x2 +4 x +1 is

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is

The graph of the quadratic equation is

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

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

The solution of equation x2 + 2 = 0 in the set of real number is

If a (p + q)2+ bpq +c = 0 and a (p + r)2+ 2 bpr + c = 0, then qr equals

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

Roots of the equation x2- 7x + 10 = 0 are

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

If the roots of ax2- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

If x3+ 4x3- 2x +5 is divided by x - 1, then the reminder is

Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?

Roots of the equation 2x2- 7x + 3 = 0 are

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

The discriminant of the quadratic equation ax2+ bx + c = 0 is

w4= ______

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

w73= ______

The roots of ax2 + bx + c = 0 are always unequal if

There are ______ basic techniques for solving a quadratic equation

Let the equation ax2- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

If x - 1 is a factor of x4 - 5x2 + 4 then other factor is

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Top Scorers Of ECAT Mathematics Chapter 6 Quadratic Equations MCQ`s Test

ECAT Mathematics Chapter 6 Important MCQ's

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The roots of the equation ax²+ bx + x = 0 are real and distinct if

The standard parabolic form of the equation f(x) = x² +4 x +1 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

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

Roots of the equation x²- 7x + 10 = 0 are

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

If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

If x³+ 4x³- 2x +5 is divided by x - 1, then the reminder is

Roots of the equation 2x²- 7x + 3 = 0 are

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

The discriminant of the quadratic equation ax²+ bx + c = 0 is

w⁴= ______

w⁷³= ______

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be