Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 25 - 30 of 80

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Question number: 25

» 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: 26

» 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: 27

» 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

Question number: 28

» Quadratic Equations

MCQ▾

Question

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 4 and 5. The other copied the constant term and coefficient of x2 correctly as 20 and 1 respectively. The correct roots are

Choices

Choice (4) Response
a.

5, 4

b.

5,4

c.

5,4

d.

5,4

Question number: 29

» Quadratic Equations

MCQ▾

Question

Two numbers whose sum is 10 and absolute value of whose difference is 4 are the roots of the equation ________

Choices

Choice (4) Response
a.

x216x+21=0

b.

x2+16x21=0

c.

x210x+21=0

d.

x210x21=0

Question number: 30

» Quadratic Equations

MCQ▾

Question

For what value of ‘P’ the roots of P x2+4x+(P3)=0 are equal

Choices

Choice (4) Response
a.

3,5

b.

4, -1

c.

6, 4

d.

3, -8

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