Polynomials [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 1 - 9 of 82
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Question 1
Question MCQ▾
If the zero of the quadratic polynomial is 3, then the value of k is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 6 | |
b. | -3 | |
c. | -8 | |
d. | -1 |
Question 2
Question MCQ▾
If are the roots of the cubic , the value of is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 3
Question 4
Question MCQ▾
If one zero of the polynomial is a reciprocal of the other, then k is equal to ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 5 | |
b. | 7 | |
c. | 9 | |
d. | 2 |
Question 5
Question MCQ▾
If are the roots of the equation , then the equation whose roots are and is ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 6
Question MCQ▾
The difference of roots of the quadratic equation is ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 7
Question MCQ▾
The sum of the reciprocals of the roots of the equation is ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 8
Question MCQ▾
If are the roots of the equation , then the quadratic equation whose roots are and is ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 9
Question MCQ▾
If are the roots of the equation , then the equation whose roots are and is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |