KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 22 - 26 of 265

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Question number: 22

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

MCQ▾

Question

Let p, q, r, s be real numbers such that . Then the sum of all possible values of is,

Choices

Choice (4) Response

a.

16

b.

66

c.

36

d.

96

Question number: 23

» Coordinate Geometry » Conic Sections

Appeared in Year: 2011

MCQ▾

Question

The diameter of one of the bases of a truncated cone is 100 mm. If the diameter of this base is increased by 21 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 21%. The radius of the other base (in mm) is

Choices

Choice (4) Response

a.

35

b.

65

c.

45

d.

55

Question number: 24

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

Appeared in Year: 2011

MCQ▾

Question

If , then is,

Choices

Choice (4) Response

a.

a 3 + a 2 + 3 a - 16 - b

b.

c.

a 3 - a 2 + 3 a - 6 - b

d.

Question number: 25

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

MCQ▾

Question

Two friends A and B are 30 km apart and they start simultaneously on motorcycles to meet each other. The speed of A is 3 times that of B. The distance between them decreases at the rate of 2 km per minute. Ten minutes after they start, A’s vehicle breaks down and A stops and waits for B to arrive. After how much time (in minutes) A started riding, does B meet A?

Choices

Choice (4) Response

a.

20

b.

30

c.

25

d.

15

Question number: 26

» Coordinate Geometry » Equations of Internal and External Bisectors of Angles

MCQ▾

Question

PQR be a triangle with ∠ Q = 90 0. Let PS be the bisector of ∠ P with S on QR. Suppose PR = 5 cm, length of the SR is 2 cm, and the area of the triangle PQS is 10 cm 2. Then the length of PQ in cm is equal to

Choices

Choice (4) Response

a.

10

b.

7

c.

15

d.

5

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