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

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

Let f(x) = x³ - 6x² + 11x - 6.
Then, which one of the folllowing is not a factor of f(x) ?

A. x - 1

B. x - 2

C. x + 3

D. x - 3

E. None of the above

View Answer View Explanation

C. X + 3

Posted in: Basic Operations & Factorization - Algebra - Mathematics

The quadratic equation whose roots are twice the roots of $2x^2 - 5x + 2 = 0$ is :

A. $8x^2 - 10x + 2 = 0$

B. $x^2 - 5x + 4 = 0$

C. $2x^2 - 5x + 2 = 0$

D. None

E. None of the above

View Answer View Explanation

B. $X^2 - 5X + 4 = 0$

Posted in: Quadratic Equations - Algebra - Mathematics

The Polynomial (x⁴ - 5x³+ 5x² - 10x + 24) has a factor as :

A. x + 4

B. x - 2

C. x + 2

D. None

E. None of the above

View Answer View Explanation

B. X - 2

Posted in: Basic Operations & Factorization - 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.

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

Let f(x) = x3 - 6x2 + 11x - 6.Then, which one of the folllowing is not a factor of f(x) ?

The quadratic equation whose roots are twice the roots of $2x^2 - 5x + 2 = 0$ is :

The Polynomial (x4 - 5x3 + 5x2 - 10x + 24) has a factor as :

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.

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

Let f(x) = x³ - 6x² + 11x - 6.
Then, which one of the folllowing is not a factor of f(x) ?

The Polynomial (x⁴ - 5x³+ 5x² - 10x + 24) has a factor as :