KVPY Stream-SA (Class 11) Math: Questions 48 - 51 of 265

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 265 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

Question number: 48

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2013

MCQ▾

Question

Let a, b be non-zero real numbers. Which of the following statements about the quadratic equation.

ax2+(a+b)x+b=0

Is necessarily true?

(I) It has at least one negative root

(III) Both roots are negative

(II) Both its roots are real.

(IV) It has at least one positive root.

Select the correct option,

Choices

Choice (4) Response

a.

(III) and (IV) are correct

b.

(I) and (II) are correct

c.

(I), (II) and (III) are correct

d.

(I) and (III) are correct

Question number: 49

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

Question

If p, q are real numbers such that 5pq+15pq1=120 , then the value of p+qpq is,

Choices

Choice (4) Response

a.

2

b.

1

c.

0

d.

3

Question number: 50

» Basic Mathematics » Arithmetic » Rates

Appeared in Year: 2010

MCQ▾

Question

I carried 1000 kg of watermelon in summer by train. In the beginning, the water content was 99%. By the time I reached the destination, the water content had dropped to 98%. The reduction in the weight of the watermelon was

Choices

Choice (4) Response

a.

500 kg

b.

50 kg

c.

10 kg

d.

100 kg

Question number: 51

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

MCQ▾

Question

A regular octagon is formed by cutting congruent isosceles right-angled triangles from the corners of a square. If the square has side-length 1, the side-length of the octagon is.

Choices

Choice (4) Response

a.

212

b.

514

c.

21

d.

513

Sign In