IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 247 - 251 of 968

Access detailed explanations (illustrated with images and videos) to 968 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

Question 247

Question

MCQ▾

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 correctly as and respectively. The correct roots are

Choices

Choice (4)Response

a.

b.

9,1

c.

d.

Question 248

Question

MCQ▾

The roots of the equation can be found by solving ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question 249

Question

MCQ▾

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

Choices

Choice (4)Response

a.

40

b.

50

c.

20

d.

30

Question 250

Question

MCQ▾

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.

b.

c.

d.

Question 251

Question

MCQ▾

In the equation , the sum of the roots is 6 and the product of the roots is 5. Then h and k respectively, have the values ________

Choices

Choice (4)Response

a.

-42 and 7

b.

-31 and 8

c.

62 and 12

d.

18 and 4