IMO- Mathematics Olympiad Class 10: Questions 268 - 273 of 889

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Question number: 268

» 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: 269

» 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: 270

» 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

Question number: 271

» Quadratic Equations

MCQ▾

Question

A convex polygon has 20 diagonals. The number of its sides is ________

Choices

Choice (4) Response

a.

9

b.

8

c.

7

d.

12

Question number: 272

» Quadratic Equations

MCQ▾

Question

Which of the statements given below is correct. If discriminant for equation 4x220x+9=0 is D________

Choices

Choice (4) Response

a.

D=4.5and0.5

b.

D=6.5and6

c.

D=4and3

d.

D=2.5and4.5

Question number: 273

» Quadratic Equations

MCQ▾

Question

The roots of ax2+bx+c=0,a0 are real and unreal, if b24ac is ________

Choices

Choice (4) Response

a.

=0

b.

<0

c.

>0

d.

0

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