Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 18 - 24 of 80

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Question number: 18

» Quadratic Equations

MCQ▾

Question

If one roots of x2+ax+10=0 is twice the other root, then the value of ‘a’ is ________

Choices

Choice (4) Response

a.

32

b.

35

c.

45

d.

5

Question number: 19

» Quadratic Equations

MCQ▾

Question

Sum of two numbers x and y is 12 and the absolute value of their difference is 20 the equation with these numbers as roots is ________

Choices

Choice (4) Response

a.

x2+12x+36=0

b.

x212x36=0

c.

x212x+36=0

d.

x2+12x36=0

Question number: 20

» Quadratic Equations

MCQ▾

Question

Which of the statements given below is correct. If discriminant for equation 2x2+8x+8=0 is D________

Choices

Choice (4) Response

a.

D=2

b.

D>2

c.

D<2

d.

D=2

Question number: 21

» Quadratic Equations

MCQ▾

Question

If one roots of 4a23a+p=0 is 3 times the other; the value of p is ________

Choices

Choice (4) Response

a.

3488

b.

2764

c.

1267

d.

4556

Question number: 22

» Quadratic Equations

MCQ▾

Question

A convex polygon has 77 diagonals. The number of its sides is ________

Choices

Choice (4) Response

a.

11

b.

14

c.

8

d.

3

Question number: 23

» Quadratic Equations

MCQ▾

Question

The square of a number is decreased by 24. This value is twice the original number. Then the number is ________

Choices

Choice (4) Response

a.

3,6

b.

6,4

c.

5,8

d.

2,7

Question number: 24

» Quadratic Equations

MCQ▾

Question

In the equation 3x2hx+15k=0 , the sum of the roots is 3 and the product of the roots is 25. Then h and k respectively, have the values ________

Choices

Choice (4) Response

a.

-9 and 5

b.

-9 and -5

c.

9 and 5

d.

9 and -5

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