Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 1 - 6 of 80

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Question number: 1

» Quadratic Equations

MCQ▾

Question

Which of the statements given below is correct. If discriminant for equation x22x=6x16 is D________

Choices

Choice (4) Response

a.

D>4

b.

D=4

c.

D<4

d.

Question does not provide sufficient data or is vague

Question number: 2

» Quadratic Equations

MCQ▾

Question

If the equation 25x2+5kx+4=0 has equal roots, and then the both roots are equal to ________

Choices

Choice (4) Response

a.

±2

b.

±52

c.

±25

d.

±5

Question number: 3

» Quadratic Equations

MCQ▾

Question

If the equation ax2+bx+c=0 has roots @ and $ , then the value of (a@+b)2+(a$+b)2 is ________

Choices

Choice (4) Response

a.

a33abcb3

b.

a22acb2c2

c.

b33abca3c3

d.

b22aca2c2

Question number: 4

» Quadratic Equations

MCQ▾

Question

Find the value of ‘p’ if sum of roots of 4x2+px7=0 is 3

Choices

Choice (4) Response

a.

-16

b.

-12

c.

12

d.

16

Question number: 5

» Quadratic Equations

MCQ▾

Question

If one roots of x2+ax+12=0 is thrice the other root, then the value of ‘a’ is ________

Choices

Choice (4) Response

a.

8

b.

22

c.

-8

d.

8

Question number: 6

» Quadratic Equations

MCQ▾

Question

If the roots of the equation (ab)x2+(bc)x+(ca)=0 are equal. Then ________

Choices

Choice (4) Response

a.

1b=1a+1c

b.

2a=b+c

c.

2b=a+c

d.

2c=a+b

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