Quadratic Equations (IMO- Mathematics Olympiad (SOF) Class 10): Questions 69 - 73 of 80

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Question number: 69

» Quadratic Equations

MCQ▾

Question

In the Maths Olympiad of 2030 at X Planet, two representatives from the Sejm’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 -14 and 6.
  2. Another one committed an error in the coefficient of x and he got the roots as 3 and -6

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 number: 70

» 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 -5 and 6. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 71

» Quadratic Equations

MCQ▾

Question

If has equal roots, and then c is equal to________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 72

» Quadratic Equations

MCQ▾

Question

The roots of the equation can be found by solving ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 73

» Quadratic Equations

MCQ▾

Question

The equation has ________

Choices

Choice (4) Response

a.

No root

b.

Infinitely many roots

c.

One integral root

d.

Two real roots

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