IMO- Mathematics Olympiad Class 10: Questions 249 - 253 of 889

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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.

x225x72=0

b.

x225x+72=0

c.

x2+25x+72=0

d.

x2+25x72=0

Question number: 251

» Quadratic Equations

MCQ▾

Question

In the equation 7x2+hx+5k=0 , 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.

18 and 4

c.

-31 and 8

d.

62 and 12

Question number: 252

» Quadratic Equations

MCQ▾

Question

Find the value of ‘m’ if sum of roots of (2m1)x2+(4m1)x+(m+3)=0 is 52

Choices

Choice (4) Response

a.

521

b.

415

c.

319

d.

718

Question number: 253

» Quadratic Equations

MCQ▾

Question

Find the value of ‘m’ if product of roots of (m+1)x2+(4m+3)x+(m1)=0 is 72

Choices

Choice (4) Response

a.

1315

b.

1513

c.

1315

d.

1513

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