Algebra - Mathematics Multiple Choice questions

Find the values of k ε R subject to the following condition :
The ratio of the rots of $x^2 + 3kx + 20 = 0$ is 4 : 5.

A. ± 3

B. - 3

C. + 3

D. - 1

E. None of the above

View Answer View Explanation

A. ± 3

Posted in: Quadratic Equations - Algebra - Mathematics

If the sum of the roots of the equation $x^2 + 8x + 2 - k = 0$ is twice the product of the roots.
Then find k.

A. 2

B. 4

C. 8

D. 6

E. None of the above

View Answer View Explanation

D. 6

Posted in: Quadratic Equations - Algebra - Mathematics

Find the values of k ε R subject to the following condition :
The diffrenence between the roots of $x^2 + kx + 4 = 0 is 3.$

A. 5

B. ± 5

C. 0

D. 8

E. None of the above

View Answer View Explanation

B. ± 5

Posted in: Quadratic Equations - Algebra - Mathematics

One of the factors of 3x³ + x² - 12x - 4 is :

A. 3x - 2

B. 3x + 2

C. 3x - 1

D. 3x + 1

E. None of the above

View Answer View Explanation

D. 3X + 1

Posted in: Basic Operations & Factorization - Algebra - Mathematics

The set of homogeneous simultaneous equations
4x + 2y = 0 and
6x + 3y = 0 has :

A. x = 0, y = 0 as solutions

B. x = 0, y = 0 and x = 1, y = -2 as solutions

C. x = 0, y = 0 ; x = -1, y = 2 and x = 1, y = -2 as solutions

D. an infinite number of solutions.

E. None of the above

View Answer View Explanation

D. AN INFINITE NUMBER OF SOLUTIONS.

Posted in: Linear Equations - Algebra - Mathematics

Find the values of k ε R subject to the following condition :The ratio of the rots of $x^2 + 3kx + 20 = 0$ is 4 : 5.

If the sum of the roots of the equation $x^2 + 8x + 2 - k = 0$ is twice the product of the roots.Then find k.

Find the values of k ε R subject to the following condition :The diffrenence between the roots of $x^2 + kx + 4 = 0 is 3.$

One of the factors of 3x3 + x2 - 12x - 4 is :

The set of homogeneous simultaneous equations4x + 2y = 0 and6x + 3y = 0 has :

Find the values of k ε R subject to the following condition :
The ratio of the rots of $x^2 + 3kx + 20 = 0$ is 4 : 5.

If the sum of the roots of the equation $x^2 + 8x + 2 - k = 0$ is twice the product of the roots.
Then find k.

Find the values of k ε R subject to the following condition :
The diffrenence between the roots of $x^2 + kx + 4 = 0 is 3.$

One of the factors of 3x³ + x² - 12x - 4 is :

The set of homogeneous simultaneous equations
4x + 2y = 0 and
6x + 3y = 0 has :