Polynomials [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 29 - 37 of 82
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Question 29
Question MCQ▾
If are the zeroes of the quadratic polynomial , then the value of is ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 30
Question MCQ▾
The roots of the quadratic equation are in the ratio , then k equals ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 17.4 | |
b. | 16.5 | |
c. | 14.4 | |
d. | 13.4 |
Question 31
Question MCQ▾
If p and q are the roots of the equation , then the equation if the roots are ?
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 32
Question MCQ▾
If be two zeroes of the quadratic polynomial , then = ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 33
Question MCQ▾
If be the zeroes of the quadratic polynomial , then the value of = ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 34
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 35
Question MCQ▾
If one zero of the cubic polynomial is , then other two zeroes are ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 1,2 | |
b. | -1, -2 | |
c. | 2, -1 | |
d. | Question does not provide sufficient data or is vague |
Question 36
Question MCQ▾
The difference of roots of the quadratic equation is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 0 | |
b. | ||
c. | 2 | |
d. | 1 |
Question 37
Question MCQ▾
Quadratic polynomial having sum of its zeroes -10 and product of its zeroes 25 is ________
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |