IMO- Mathematics Olympiad Class 10: Questions 280 - 284 of 908

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Question number: 280

» Quadratic Equations

MCQ▾

Question

Find the value of ‘k’ if product of roots of (k9)x2(3k+7)x+(k+12)=0 is 109

Choices

Choice (4) Response

a.

5717

b.

5717

c.

1757

d.

1757

Question number: 281

» Quadratic Equations

MCQ▾

Question

If x2+4ax+3=0and2x2+3ax9=0 have a common root, then the value of ‘a’ is ________

Choices

Choice (4) Response

a.

±1

b.

±2

c.

±3

d.

Only 1

Question number: 282

» Quadratic Equations

MCQ▾

Question

In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes:

  1. One of them made a mistake in the constant term and got the roots as 5 and 9.

  2. Another one committed an error in the coefficient of x and he got the roots as 12 and 4

But in the meantime, they realized that they are wrong and they managed to get it right jointly. Find the quadratic equation.

Choices

Choice (4) Response

a.

3x217x+52=0

b.

x2+4x+14=0

c.

x214x+48=0

d.

2x2+7x24=0

Question number: 283

» Quadratic Equations

MCQ▾

Question

Which of the statements given below is correct. If discriminant for equation 3x210x+3=0 is D________

Choices

Choice (4) Response

a.

D=3and15

b.

Not determined

c.

D=3and13

d.

D=2and4

Question number: 284

» Quadratic Equations

MCQ▾

Question

If x1x+1+1=0 , then 4x is equal to ________

Choices

Choice (4) Response

a.

5

b.

114

c.

0

d.

41

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