IMO- Mathematics Olympiad Class 10: Questions 247 - 250 of 958

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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 Equation correctly as Equation and Equation respectively. The correct roots are

Choices

Choice (4) Response

a.

9, 1

b.

Equation

c.

Equation

d.

Equation

Question number: 248

» Quadratic Equations

MCQ▾

Question

The roots of the equation Equation can be found by solving ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 249

» Quadratic Equations

MCQ▾

Question

A convex polygon has 170 diagonals. The number of its sides is ________

Choices

Choice (4) Response

a.

20

b.

40

c.

50

d.

30

Question number: 250

» Quadratic Equations

MCQ▾

Question

In the Maths Olympiad of 2016 at X Planet, two representatives from the Alex’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 10 and 15.
  2. Another one committed an error in the coefficient of x and he got the roots as -9 and 8

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.

Equation

b.

Equation

c.

Equation

d.

Equation

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