Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 55 - 59 of 80

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Question number: 55

» Quadratic Equations

MCQ▾

Question

If the equation 16x2+12kx+9=0 has equal roots, and then the both roots are equal to ________

Choices

Choice (4) Response

a.

±4

b.

±43

c.

±3

d.

±34

Question number: 56

» Quadratic Equations

MCQ▾

Question

In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 50 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 29 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was ________

Choices

Choice (4) Response

a.

1571

b.

1538

c.

1632

d.

1999

Question number: 57

» Quadratic Equations

MCQ▾

Question

In the equation x(x1)(m+1)(x1)(m1)=xm , the roots are equal when ________

Choices

Choice (4) Response

a.

m=1

b.

m=12

c.

m=12

d.

m=0

Question number: 58

» Quadratic Equations

MCQ▾

Question

A man walks a distance of 48 km in a given time. If he walks 2 km/hr faster, he will perform the journey 4 hrs before. His normal rate of walking, is ________

Choices

Choice (4) Response

a.

3kmhr

b.

6kmhror4kmhr

c.

4kmhr

d.

5kmhr

Question number: 59

» 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 16 and 4. The other copied the constant term and coefficient of x2 correctly as 1 and 19 respectively. The correct roots are

Choices

Choice (4) Response

a.

19,1

b.

19,1

c.

19,1

d.

19,1

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