QBManager

POLYNOMIALS

90033 If $α,$ $β$ and $^{'} γ^{'}$ are the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d, then $α + β + γ =$

1

\frac{- b}{a}

2

\frac{b}{a}

3

\frac{- c}{a}

4

\frac{c}{a}

Explanation:

$\frac{- b}{a}$
If $α, β$ and $^{'} γ^{'}$ are the zeroes of a cubic ax $^{1}$ + bx $^{1}$ + cx + d $∵$ Sum of the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d $= \frac{- {(Coefficient of x}^{2})}{{Coefficient of x}^{3}},$ Then $α + β + γ = \frac{- b}{a}$

POLYNOMIALS

90034 If f(x) = ax $^{1}$ +bx + c has no real zeros and a + b + c < 0, then:

1 c < 0

2 None of these

3 c = 0

4 c > 0

Explanation:

c < 0
We are given a + b + c < 0 $\Rightarrow f (1) < 0$ So, f(x) must be negative for all x.

POLYNOMIALS

90035 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: Zeroes of f(x) = x $^{1}$ - 4x - 5 are 5, -1. Reason: The polynomial whose zeroes are $2 + \sqrt{3},$ $2 - \sqrt{3},$ is x $^{1}$ - 4x = 7.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

POLYNOMIALS

90036 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: If the sum of the zeroes of the quadratic polynomial x $^{1}$ - 2kx + 8 is 2 then value of k is 1. Reason: Sum of zeroes of a quadratic polynomial ax $^{1}$ + bx + c is $\frac{- b}{a} .$

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

POLYNOMIALS

90033 If $α,$ $β$ and $^{'} γ^{'}$ are the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d, then $α + β + γ =$

1

\frac{- b}{a}

2

\frac{b}{a}

3

\frac{- c}{a}

4

\frac{c}{a}

Explanation:

$\frac{- b}{a}$
If $α, β$ and $^{'} γ^{'}$ are the zeroes of a cubic ax $^{1}$ + bx $^{1}$ + cx + d $∵$ Sum of the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d $= \frac{- {(Coefficient of x}^{2})}{{Coefficient of x}^{3}},$ Then $α + β + γ = \frac{- b}{a}$

POLYNOMIALS

90034 If f(x) = ax $^{1}$ +bx + c has no real zeros and a + b + c < 0, then:

1 c < 0

2 None of these

3 c = 0

4 c > 0

Explanation:

c < 0
We are given a + b + c < 0 $\Rightarrow f (1) < 0$ So, f(x) must be negative for all x.

POLYNOMIALS

90035 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: Zeroes of f(x) = x $^{1}$ - 4x - 5 are 5, -1. Reason: The polynomial whose zeroes are $2 + \sqrt{3},$ $2 - \sqrt{3},$ is x $^{1}$ - 4x = 7.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

POLYNOMIALS

90036 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: If the sum of the zeroes of the quadratic polynomial x $^{1}$ - 2kx + 8 is 2 then value of k is 1. Reason: Sum of zeroes of a quadratic polynomial ax $^{1}$ + bx + c is $\frac{- b}{a} .$

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

POLYNOMIALS

90033 If $α,$ $β$ and $^{'} γ^{'}$ are the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d, then $α + β + γ =$

1

\frac{- b}{a}

2

\frac{b}{a}

3

\frac{- c}{a}

4

\frac{c}{a}

Explanation:

$\frac{- b}{a}$
If $α, β$ and $^{'} γ^{'}$ are the zeroes of a cubic ax $^{1}$ + bx $^{1}$ + cx + d $∵$ Sum of the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d $= \frac{- {(Coefficient of x}^{2})}{{Coefficient of x}^{3}},$ Then $α + β + γ = \frac{- b}{a}$

POLYNOMIALS

90034 If f(x) = ax $^{1}$ +bx + c has no real zeros and a + b + c < 0, then:

1 c < 0

2 None of these

3 c = 0

4 c > 0

Explanation:

c < 0
We are given a + b + c < 0 $\Rightarrow f (1) < 0$ So, f(x) must be negative for all x.

POLYNOMIALS

90035 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: Zeroes of f(x) = x $^{1}$ - 4x - 5 are 5, -1. Reason: The polynomial whose zeroes are $2 + \sqrt{3},$ $2 - \sqrt{3},$ is x $^{1}$ - 4x = 7.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

POLYNOMIALS

90036 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: If the sum of the zeroes of the quadratic polynomial x $^{1}$ - 2kx + 8 is 2 then value of k is 1. Reason: Sum of zeroes of a quadratic polynomial ax $^{1}$ + bx + c is $\frac{- b}{a} .$

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

POLYNOMIALS

90033 If $α,$ $β$ and $^{'} γ^{'}$ are the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d, then $α + β + γ =$

1

\frac{- b}{a}

2

\frac{b}{a}

3

\frac{- c}{a}

4

\frac{c}{a}

Explanation:

$\frac{- b}{a}$
If $α, β$ and $^{'} γ^{'}$ are the zeroes of a cubic ax $^{1}$ + bx $^{1}$ + cx + d $∵$ Sum of the zeroes of a cubic polynomial ax $^{1}$ + bx $^{1}$ + cx + d $= \frac{- {(Coefficient of x}^{2})}{{Coefficient of x}^{3}},$ Then $α + β + γ = \frac{- b}{a}$

POLYNOMIALS

90034 If f(x) = ax $^{1}$ +bx + c has no real zeros and a + b + c < 0, then:

1 c < 0

2 None of these

3 c = 0

4 c > 0

Explanation:

c < 0
We are given a + b + c < 0 $\Rightarrow f (1) < 0$ So, f(x) must be negative for all x.

POLYNOMIALS

90035 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: Zeroes of f(x) = x $^{1}$ - 4x - 5 are 5, -1. Reason: The polynomial whose zeroes are $2 + \sqrt{3},$ $2 - \sqrt{3},$ is x $^{1}$ - 4x = 7.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

POLYNOMIALS

90036 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: If the sum of the zeroes of the quadratic polynomial x $^{1}$ - 2kx + 8 is 2 then value of k is 1. Reason: Sum of zeroes of a quadratic polynomial ax $^{1}$ + bx + c is $\frac{- b}{a} .$

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.