Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 11 - 17 of 80

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Question number: 11

» Quadratic Equations

MCQ▾

Question

In the equation 7x2+hx+5k=0 , the sum of the roots is 6 and the product of the roots is 5. Then h and k respectively, have the values ________

Choices

Choice (4) Response

a.

-42 and 7

b.

18 and 4

c.

-31 and 8

d.

62 and 12

Question number: 12

» Quadratic Equations

MCQ▾

Question

Find the value of ‘m’ if sum of roots of (2m1)x2+(4m1)x+(m+3)=0 is 52

Choices

Choice (4) Response

a.

521

b.

415

c.

319

d.

718

Question number: 13

» Quadratic Equations

MCQ▾

Question

Find the value of ‘m’ if product of roots of (m+1)x2+(4m+3)x+(m1)=0 is 72

Choices

Choice (4) Response

a.

1315

b.

1513

c.

1315

d.

1513

Question number: 14

» 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: 15

» 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: 16

» 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: 17

» 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

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