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

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## Question number: 69

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

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

MCQ▾

### Question

If has equal roots, and then c is equal to________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 72

MCQ▾

### Question

The roots of the equation can be found by solving ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 73

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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