Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 70 - 75 of 80

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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 x2 correctly as 1 and 1 respectively. The correct roots are

Choices

Choice (4) Response

a.

8,7

b.

8,7

c.

8,7

d.

8,7

Question number: 71

» Quadratic Equations

MCQ▾

Question

If ax2+bx+c=0 has equal roots, and then c is equal to________

Choices

Choice (4) Response

a.

b2a

b.

b24a

c.

b2a

d.

b24a

Question number: 72

» Quadratic Equations

MCQ▾

Question

The roots of the equation 2y+37=3y+13 can be found by solving ________

Choices

Choice (4) Response

a.

15y+2=0

b.

15y2=0

c.

15y2=0

d.

15y+2=0

Question number: 73

» Quadratic Equations

MCQ▾

Question

The equation x7x3=37x3 has ________

Choices

Choice (4) Response

a.

No root

b.

Infinitely many roots

c.

One integral root

d.

Two real roots

Question number: 74

» Quadratic Equations

MCQ▾

Question

If bxa=x+ab , then the value of x in terms of a and b is ________

Choices

Choice (4) Response

a.

±a2+b2

b.

3a2+b2

c.

3+a2+b2

d.

±a2b2

Question number: 75

» Quadratic Equations

MCQ▾

Question

Two numbers whose sum is 20 and absolute value of whose difference are 6 are the roots of the equation ________

Choices

Choice (4) Response

a.

x2+30x71=0

b.

x220x61=0

c.

x2+20x+91=0

d.

x220x+91=0

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