Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 37 - 42 of 80

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Question number: 37

» Quadratic Equations

MCQ▾

Question

The roots of the equation 5x+5x12=8 can be found by solving ________

Choices

Choice (4) Response

a.

2x214x+30=0

b.

5x212x+10=0

c.

3x221x20=0

d.

5x214x+5=0

Question number: 38

» Quadratic Equations

MCQ▾

Question

Solve the equation x+2x1+223=x+3x2 by using quadratic formula, then x is ________

Choices

Choice (4) Response

a.

52,14

b.

52,2

c.

4,52

d.

52,4

Question number: 39

» Quadratic Equations

MCQ▾

Question

In the equation 2x2hx+2k=0 , the sum of the roots is 4 and the product of the roots is 3 . Then h and k respectively, have the values ________

Choices

Choice (4) Response

a.

8 and -3

b.

-3 and 8

c.

8 and 6

d.

4 and -3

Question number: 40

» 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: 41

» 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: 42

» 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

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