IMO- Mathematics Olympiad Class 10: Questions 243 - 248 of 889

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Question number: 243

» Quadratic Equations

MCQ▾

Question

If the equation ax2+bx+c=0 has roots @ and $ , then the value of (a@+b)2+(a$+b)2 is ________

Choices

Choice (4) Response

a.

a33abcb3

b.

a22acb2c2

c.

b33abca3c3

d.

b22aca2c2

Question number: 244

» Quadratic Equations

MCQ▾

Question

Find the value of ‘p’ if sum of roots of 4x2+px7=0 is 3

Choices

Choice (4) Response

a.

-16

b.

-12

c.

12

d.

16

Question number: 245

» Quadratic Equations

MCQ▾

Question

If one roots of x2+ax+12=0 is thrice the other root, then the value of ‘a’ is ________

Choices

Choice (4) Response

a.

8

b.

22

c.

-8

d.

8

Question number: 246

» Quadratic Equations

MCQ▾

Question

If the roots of the equation (ab)x2+(bc)x+(ca)=0 are equal. Then ________

Choices

Choice (4) Response

a.

1b=1a+1c

b.

2a=b+c

c.

2b=a+c

d.

2c=a+b

Question number: 247

» 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 2 and 8. The other copied the constant term and coefficient of x2 correctly as 1 and 9 respectively. The correct roots are

Choices

Choice (4) Response

a.

9, 1

b.

9,1

c.

9,1

d.

9,1

Question number: 248

» Quadratic Equations

MCQ▾

Question

The roots of the equation 14x+21x4=1 can be found by solving ________

Choices

Choice (4) Response

a.

4x215x+50=0

b.

4x225x+50=0

c.

x215x+50=0

d.

x225x50=0

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