IMO- Mathematics Olympiad Class 10: Questions 311 - 317 of 908

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Question number: 311

» 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: 312

» 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: 313

» 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: 314

» 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: 315

» 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

Question number: 316

» Quadratic Equations

MCQ▾

Question

If 2b2(xa)=2(x+a)2b , then the value of x in terms of a and b is ________

Choices

Choice (4) Response

a.

6a2+2b2

b.

±2a2+b2

c.

±a2+2b2

d.

6+2a2+b2

Question number: 317

» Quadratic Equations

MCQ▾

Question

If one root of the equation a(bc)x2+b(ca)x+c(ab)=0 is 1, and then the other root is ________

Choices

Choice (4) Response

a.

c(ab)a(bc)

b.

b(ca)a(bc)

c.

a(bc)b(ca)

d.

a(bc)c(ab)

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