Algebra - Mathematics Multiple Choice questions

The solution of the system of simultaneous linear equations
4x - 3y = 7 and 7x + 5y = 2 is :

A. x = 1, y = 1

B. x = -1, y = 1

C. x = -1, y = -1

D. x = 1, y = -1

E. None of the above

View Answer View Explanation

D. X = 1, Y = -1

Posted in: Linear Equations - Algebra - Mathematics

If α and β are the roots of the equation
$x^2 - 9x + 8 = 0$ (α > β) then find the value of
$α^2 - β^2$.

A. 63

B. 62

C. 65

D. None

E. None of the above

View Answer View Explanation

C. 65

Posted in: Quadratic Equations - Algebra - Mathematics

Value of k foe which (x - 1) is a factor of (x³ - k) is :

A. -1

B. 1

C. 8

D. -8

E. None of the above

View Answer View Explanation

B. 1

Posted in: Basic Operations & Factorization - Algebra - Mathematics

If x¹⁰⁰ + 2x⁹⁹ + k is divisible by (x + 1), then the value of k is:

A. 1

B. -3

C. 2

D. -2

E. None of the above

View Answer View Explanation

A. 1

Posted in: Basic Operations & Factorization - Algebra - Mathematics

Consider the following two sets of equations :
I. 2x - y = 0 and 6x - 3y = 0
II. 3x - 4y = 0 and 12x - 20y = 0

A. both sets I and II possess unique solutions.

B. Set I possesses unique solution and set II has infinitely many solutions.

C. Set II possesses unique solution and set I possesses infinitely many solutions.

D. None of the sets I and II possesses a unique solution.

E. None of the above

View Answer View Explanation

C. SET II POSSESSES UNIQUE SOLUTION AND SET I POSSESSES INFINITELY MANY SOLUTIONS.

Posted in: Linear Equations - Algebra - Mathematics

The solution of the system of simultaneous linear equations4x - 3y = 7 and 7x + 5y = 2 is :

If α and β are the roots of the equation$x^2 - 9x + 8 = 0$ (α > β) then find the value of$α^2 - β^2$.

Value of k foe which (x - 1) is a factor of (x3 - k) is :

If x100 + 2x99 + k is divisible by (x + 1), then the value of k is:

Consider the following two sets of equations :I. 2x - y = 0 and 6x - 3y = 0II. 3x - 4y = 0 and 12x - 20y = 0

The solution of the system of simultaneous linear equations
4x - 3y = 7 and 7x + 5y = 2 is :

If α and β are the roots of the equation
$x^2 - 9x + 8 = 0$ (α > β) then find the value of
$α^2 - β^2$.

Value of k foe which (x - 1) is a factor of (x³ - k) is :

If x¹⁰⁰ + 2x⁹⁹ + k is divisible by (x + 1), then the value of k is:

Consider the following two sets of equations :
I. 2x - y = 0 and 6x - 3y = 0
II. 3x - 4y = 0 and 12x - 20y = 0