MATHS Assertion (A) & Reason (B) MCQ

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: Polynomial is the algebraic equation in the form of single variable.
Reason: Polynomial which has three term are called trinomial.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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 one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it has no linear term and the constant term is positive.
Reason: The zeroes of the quadratic polynomial x2 + 99x + 127 are both positive.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: A polynomial can have more than one zero.
Reason: Every real number is zero of zero polynomial.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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 p(x) = 7x + 7 = 56 at x = 7.
Reason: The zeroes of a polynomial f (x) are the coordinates of the points where the graph of y f (x) intersects x - axis.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: 2x - 1 is the linear polynomial.
Reason: A polynomial of degree 1 is called linear polynomial.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: A real number α is said to be a zero of the polynomial p(x) if p(α) = 0.
Reason: The zero polynomial is the additive identity of the additive group of polynomials.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: Degree of the remainder is always smaller or less than the divisor.
Reason: If x = 0. 6 then x + 9x = 6.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: The degree of zero polynomial is not defined.
Reason: Each term of polynomial has coefficient.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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 one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is p - q - 1.
Reason: If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is 9.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: p(x) = 1, p(x) = 5 are the zero of zero ploynomial.
Reason: All real number is the zero of zero polynomial.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: The graph of the polynomial ax² + bx + c is a downward parabola if a = 0.
Reason: If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is ≤ 1.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: Degree of non zero constant polynomial is zero.
Reason: Polynomial having two terms are called binomial.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: A polynomial whose coefficients are all equal to 0 is called zero polynomial.
Reason: A degree of p(x) = 7xyz is 3.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: Degree of cubic polynomial is 3.
Reason: Degree of quadratic polynomial is 2.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: Remainder is not equal to zero when the divisor is not the factor of dividend.
Reason: Identity equation is valid for all the value of its variable.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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: –7 is a constant polynomial.
Reason: Degree of a constant polynomial is zero.

1. Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion.
2. Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion.
3. Assertion is correct statement but Reason is wrong statement.
4. Assertion is wrong statement but Reason is correct statement.

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: Degree of a zero polynomial is not defined.
Reason: Degree of a non-zero constant polynomial is 0.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
3. Assertion is correct but Reason is incorrect.
4. Assertion is incorrect but Reason is correct.

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: Every polynomial equation has at least one real root.
Reason: Graph of quadratic polynomial is an ellipse.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.