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.

Edit

Question 57

Question MCQ▾

The sum of the reciprocals of the roots of the equation is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

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

Edit

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

Edit

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.

Edit

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

Edit

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.

Edit

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

Edit