IMO- Mathematics Olympiad Class 10: Questions 261 - 267 of 908

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Question number: 261

» 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: 262

» 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: 263

» 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: 264

» 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

Question number: 265

» Quadratic Equations

MCQ▾

Question

If one roots of x2+bx18=0 is twice the other root, and then the value of ‘b’ is ________

Choices

Choice (4) Response

a.

3

b.

-9

c.

3

d.

9

Question number: 266

» Quadratic Equations

MCQ▾

Question

Solve the equation 4x15x+2=3x by using quadratic formula, then x is ________

Choices

Choice (4) Response

a.

3,12

b.

92,4

c.

3,12

d.

92,4

Question number: 267

» Quadratic Equations

MCQ▾

Question

A convex polygon has 90 diagonals. The number of its sides is ________

Choices

Choice (4) Response

a.

19

b.

15

c.

14

d.

10

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