IMO- Mathematics Olympiad Class 10: Questions 254 - 260 of 908

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Question number: 254

» Quadratic Equations

MCQ▾

Question

If x2bxaxc=m1m+1 has roots which are numerically equal but of opposite signs, then the value of ‘m’ must be ________

Choices

Choice (4) Response

a.

0

b.

a+bab

c.

aba+b

d.

1

Question number: 255

» Quadratic Equations

MCQ▾

Question

If one roots of x2+ax+4=0 is twice the other root, then the value of ‘a’ is ________

Choices

Choice (4) Response

a.

32

b.

2

c.

82

d.

22

Question number: 256

» Quadratic Equations

MCQ▾

Question

The expression x3+4x2+mx12 is divisible by x+2 . Then m is a divisor of ________

Choices

Choice (4) Response

a.

-12

b.

-10

c.

10

d.

12

Question number: 257

» Quadratic Equations

MCQ▾

Question

If the equation 25x2+10kx+4=0 has equal roots, and then the both roots are equal to ________

Choices

Choice (4) Response

a.

±25

b.

±52

c.

±2

d.

±5

Question number: 258

» Quadratic Equations

MCQ▾

Question

If one roots of x2+ax+10=0 is twice the other root, then the value of ‘a’ is ________

Choices

Choice (4) Response

a.

32

b.

35

c.

45

d.

5

Question number: 259

» Quadratic Equations

MCQ▾

Question

Sum of two numbers x and y is 12 and the absolute value of their difference is 20 the equation with these numbers as roots is ________

Choices

Choice (4) Response

a.

x2+12x+36=0

b.

x212x36=0

c.

x212x+36=0

d.

x2+12x36=0

Question number: 260

» Quadratic Equations

MCQ▾

Question

Which of the statements given below is correct. If discriminant for equation 2x2+8x+8=0 is D________

Choices

Choice (4) Response

a.

D=2

b.

D>2

c.

D<2

d.

D=2

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