Polynomials [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 56 - 63 of 82
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Question 56
Question MCQ▾
If are two numbers such that . Then are the roots of the quadratic equation ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 57
Question MCQ▾
The sum of the reciprocals of the roots of the equation is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 58
Question MCQ▾
If the sum of the squares of zeroes of the polynomial is , find the value of k
Choices
Choice (4) | Response | |
---|---|---|
a. | 4 | |
b. | -4 | |
c. | -3 | |
d. | 3 |
Question 59
Question MCQ▾
If a and b are the roots of the quadratic equation with the condition , then the value of ‘q’ is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 6 | |
b. | 6 or -6 | |
c. | 5 or -5 | |
d. | 5 |
Question 60
Question MCQ▾
Quadratic polynomial having sum of its zeroes and product of its zeroes 3 is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 61
Question MCQ▾
The roots of the quadratic equation are in the ratio , then k equals ________
Choices
Choice (4) | Response | |
---|---|---|
a. | -3 | |
b. | 13 | |
c. | 12 | |
d. | 1 |
Question 62
Question MCQ▾
If are two numbers such that . Then are the roots of the quadratic equation ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 63
Question MCQ▾
If are the zeroes of the quadratic polynomial such that , then the value of k is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 25 | |
b. | -24 | |
c. | 24 | |
d. | -25 |