POLYNOMIALS
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POLYNOMIALS

90027 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 number of zeros that a polynomial can have is equal to the degree of the polynomial. Reason: The polynomial x\(^{1}\) - x\(^{1}\) - 2x\(^{1}\) + x\(^{1}\) - 1 has four zeroes.

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

90028 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial ax2 + bx + c, then the values of \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) is:

1 \(\frac{\text{b}^{2}}{\text{ac}}\)
2 \(\frac{\text{c}^{2}}{\text{ab}}\)
3 \(\frac{\text{b}^{2} - {\text{2ac}}}{\text{ac}}\)
4 \(\frac{\text{a}^{2}}{\text{bc}}\)
POLYNOMIALS

90029 Given that of the zeroes of the cubic polynomial ax\(^{1}\) + bx\(^{1}\) + cx + d are 0, the third zero is:

1 \(\frac{-\text{b}}{\text{a}}\)
2 \(\frac{\text{b}}{\text{a}}\)
3 \(\frac{\text{c}}{\text{a}}\)
4 \(\frac{-\text{d}}{\text{a}}\)
POLYNOMIALS

90030 What should be added to the polynomial x\(^{1}\) - 5x + 4, so that 3 is the zero of the resulting polynomial?

1 1
2 2
3 4
4 5
POLYNOMIALS

90032 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 quadratic polynomial, sum of whose zeroes is 8 and their product is 12 is x\(^{1}\) - 20x + 96. Reason: If \(\alpha\) and \(\beta\) be the zeroes of the polynomial f(x), then polynomial is given by \(\text{f}(\text{x})=\text{x}^{2}-(\alpha+\beta)\text{x}+\alpha\beta.\)

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.
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POLYNOMIALS

90027 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 number of zeros that a polynomial can have is equal to the degree of the polynomial. Reason: The polynomial x\(^{1}\) - x\(^{1}\) - 2x\(^{1}\) + x\(^{1}\) - 1 has four zeroes.

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

90028 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial ax2 + bx + c, then the values of \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) is:

1 \(\frac{\text{b}^{2}}{\text{ac}}\)
2 \(\frac{\text{c}^{2}}{\text{ab}}\)
3 \(\frac{\text{b}^{2} - {\text{2ac}}}{\text{ac}}\)
4 \(\frac{\text{a}^{2}}{\text{bc}}\)
POLYNOMIALS

90029 Given that of the zeroes of the cubic polynomial ax\(^{1}\) + bx\(^{1}\) + cx + d are 0, the third zero is:

1 \(\frac{-\text{b}}{\text{a}}\)
2 \(\frac{\text{b}}{\text{a}}\)
3 \(\frac{\text{c}}{\text{a}}\)
4 \(\frac{-\text{d}}{\text{a}}\)
POLYNOMIALS

90030 What should be added to the polynomial x\(^{1}\) - 5x + 4, so that 3 is the zero of the resulting polynomial?

1 1
2 2
3 4
4 5
POLYNOMIALS

90032 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 quadratic polynomial, sum of whose zeroes is 8 and their product is 12 is x\(^{1}\) - 20x + 96. Reason: If \(\alpha\) and \(\beta\) be the zeroes of the polynomial f(x), then polynomial is given by \(\text{f}(\text{x})=\text{x}^{2}-(\alpha+\beta)\text{x}+\alpha\beta.\)

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.
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POLYNOMIALS

90027 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 number of zeros that a polynomial can have is equal to the degree of the polynomial. Reason: The polynomial x\(^{1}\) - x\(^{1}\) - 2x\(^{1}\) + x\(^{1}\) - 1 has four zeroes.

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

90028 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial ax2 + bx + c, then the values of \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) is:

1 \(\frac{\text{b}^{2}}{\text{ac}}\)
2 \(\frac{\text{c}^{2}}{\text{ab}}\)
3 \(\frac{\text{b}^{2} - {\text{2ac}}}{\text{ac}}\)
4 \(\frac{\text{a}^{2}}{\text{bc}}\)
POLYNOMIALS

90029 Given that of the zeroes of the cubic polynomial ax\(^{1}\) + bx\(^{1}\) + cx + d are 0, the third zero is:

1 \(\frac{-\text{b}}{\text{a}}\)
2 \(\frac{\text{b}}{\text{a}}\)
3 \(\frac{\text{c}}{\text{a}}\)
4 \(\frac{-\text{d}}{\text{a}}\)
POLYNOMIALS

90030 What should be added to the polynomial x\(^{1}\) - 5x + 4, so that 3 is the zero of the resulting polynomial?

1 1
2 2
3 4
4 5
POLYNOMIALS

90032 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 quadratic polynomial, sum of whose zeroes is 8 and their product is 12 is x\(^{1}\) - 20x + 96. Reason: If \(\alpha\) and \(\beta\) be the zeroes of the polynomial f(x), then polynomial is given by \(\text{f}(\text{x})=\text{x}^{2}-(\alpha+\beta)\text{x}+\alpha\beta.\)

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.
NEET DIGITAL LIBRARY
POLYNOMIALS

90027 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 number of zeros that a polynomial can have is equal to the degree of the polynomial. Reason: The polynomial x\(^{1}\) - x\(^{1}\) - 2x\(^{1}\) + x\(^{1}\) - 1 has four zeroes.

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

90028 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial ax2 + bx + c, then the values of \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) is:

1 \(\frac{\text{b}^{2}}{\text{ac}}\)
2 \(\frac{\text{c}^{2}}{\text{ab}}\)
3 \(\frac{\text{b}^{2} - {\text{2ac}}}{\text{ac}}\)
4 \(\frac{\text{a}^{2}}{\text{bc}}\)
POLYNOMIALS

90029 Given that of the zeroes of the cubic polynomial ax\(^{1}\) + bx\(^{1}\) + cx + d are 0, the third zero is:

1 \(\frac{-\text{b}}{\text{a}}\)
2 \(\frac{\text{b}}{\text{a}}\)
3 \(\frac{\text{c}}{\text{a}}\)
4 \(\frac{-\text{d}}{\text{a}}\)
POLYNOMIALS

90030 What should be added to the polynomial x\(^{1}\) - 5x + 4, so that 3 is the zero of the resulting polynomial?

1 1
2 2
3 4
4 5
POLYNOMIALS

90032 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 quadratic polynomial, sum of whose zeroes is 8 and their product is 12 is x\(^{1}\) - 20x + 96. Reason: If \(\alpha\) and \(\beta\) be the zeroes of the polynomial f(x), then polynomial is given by \(\text{f}(\text{x})=\text{x}^{2}-(\alpha+\beta)\text{x}+\alpha\beta.\)

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.
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POLYNOMIALS

90027 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 number of zeros that a polynomial can have is equal to the degree of the polynomial. Reason: The polynomial x\(^{1}\) - x\(^{1}\) - 2x\(^{1}\) + x\(^{1}\) - 1 has four zeroes.

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

90028 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial ax2 + bx + c, then the values of \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) is:

1 \(\frac{\text{b}^{2}}{\text{ac}}\)
2 \(\frac{\text{c}^{2}}{\text{ab}}\)
3 \(\frac{\text{b}^{2} - {\text{2ac}}}{\text{ac}}\)
4 \(\frac{\text{a}^{2}}{\text{bc}}\)
POLYNOMIALS

90029 Given that of the zeroes of the cubic polynomial ax\(^{1}\) + bx\(^{1}\) + cx + d are 0, the third zero is:

1 \(\frac{-\text{b}}{\text{a}}\)
2 \(\frac{\text{b}}{\text{a}}\)
3 \(\frac{\text{c}}{\text{a}}\)
4 \(\frac{-\text{d}}{\text{a}}\)
POLYNOMIALS

90030 What should be added to the polynomial x\(^{1}\) - 5x + 4, so that 3 is the zero of the resulting polynomial?

1 1
2 2
3 4
4 5
POLYNOMIALS

90032 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 quadratic polynomial, sum of whose zeroes is 8 and their product is 12 is x\(^{1}\) - 20x + 96. Reason: If \(\alpha\) and \(\beta\) be the zeroes of the polynomial f(x), then polynomial is given by \(\text{f}(\text{x})=\text{x}^{2}-(\alpha+\beta)\text{x}+\alpha\beta.\)

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.