If (x + 5) and (x - 3) are the factors of ax²+bx+c, then values of a, b and c are _______.

(a)

1, 2, 3

(b)

1, 2,15

(c)

1, 2, −15

(d)

1, −2,15

Cubic polynomial may have maximum of ________ linear factors.

(a)

1

(b)

2

(c)

3

(d)

4

Degree of the constant polynomial is _______.

(a)

3

(b)

2

(c)

1

(d)

0

GCD of any two prime numbers is _______.

(a)

-1

(b)

0

(c)

1

(d)

2

Which of the following statement is true for the equation 2x + 3y = 15

(a)

the equation has unique solution

(b)

the equation has two solution

(c)

the equation has no solution

(d)

the equation has infinite solutions

Find the value of m from the equation 2x + 3y = m. If its one solution is x = 2 and y = −2 .

(a)

2

(b)

-2

(c)

10

(d)

0

The value of k for which the pair of linear equations 4x + 6y −1 = 0 and 2x + ky − 7 = 0 represents parallel lines is  _______.  

(a)

k = 3

(b)

k = 2

(c)

k = 4

(d)

k = -3

A pair of linear equations has no solution then the graphical representation is _______.

(a)

(b)

(c)

(d)

If \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } \neq \frac { { b }_{ 1 } }{ { b }_{ 2 } } \) where a₁x + b₁y + c₁ = 0 and a₂x + b₂ y + c₂ = 0 then the given pair of linear equation has _______ solution(s)

(a)

no solution

(b)

two solutions

(c)

unique

(d)

infinite

If \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } =\frac { { b }_{ 1 } }{ { b }_{ 2 } } \neq \frac { { c }_{ 1 } }{ { c }_{ 2 } } \) where a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 then the given pair of linear equation has _________ solution(s)

(a)

no solution

(b)

two solutions

(c)

infinite

(d)

unique