IMO- Mathematics Olympiad Class 10: Questions 297 - 301 of 908

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Question number: 297

» Quadratic Equations

MCQ▾

Question

In the equation x(x1)(m+1)(x1)(m1)=xm , the roots are equal when ________

Choices

Choice (4) Response

a.

m=1

b.

m=12

c.

m=12

d.

m=0

Question number: 298

» Quadratic Equations

MCQ▾

Question

A man walks a distance of 48 km in a given time. If he walks 2 km/hr faster, he will perform the journey 4 hrs before. His normal rate of walking, is ________

Choices

Choice (4) Response

a.

3kmhr

b.

6kmhror4kmhr

c.

4kmhr

d.

5kmhr

Question number: 299

» 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 16 and 4. The other copied the constant term and coefficient of x2 correctly as 1 and 19 respectively. The correct roots are

Choices

Choice (4) Response

a.

19,1

b.

19,1

c.

19,1

d.

19,1

Question number: 300

» Quadratic Equations

MCQ▾

Question

If the equation 16x2+4kx+9=0 has equal roots, and then the both roots are equal to ________

Choices

Choice (4) Response

a.

±25

b.

±34

c.

±43

d.

±52

Question number: 301

» Quadratic Equations

MCQ▾

Question

In the equation x(x2)(m+2)(x2)(m1)=xm , the roots are equal when ________

Choices

Choice (4) Response

a.

m=1

b.

m=±1

c.

m=2

d.

m=±2

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