KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 15 - 18 of 265

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Question number: 15

» Coordinate Geometry » Section Formula

Appeared in Year: 2011

MCQ▾

Question

A piece of paper in the shape of a sector of a circle (see Fig. 1) is rolled up to form a right-circular cone (see Fig. 2). The value of the angle Equation is?

A piece of paper in the shape of a sector of a circle

A Piece of Paper in the Shape of a Sector of a Circle

Figure 1 shows a piece of paper in the shape of a sector of a circle. Figure 2 shows a piece of paper in the shape of a sector of a circle is rolled up to form a right circular cone.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 16

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

Appeared in Year: 2011

MCQ▾

Question

Let a, b, c, d be real numbers such that Equation . Then the sum of all possible values of Equation is,

Choices

Choice (4) Response

a.

18

b.

24

c.

9

d.

30

Question number: 17

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

Question

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 18

» Coordinate Geometry » Conic Sections

MCQ▾

Question

The diameter of one of the bases of a truncated cone is 400 mm. If the diameter of this base is increased by 25 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 25%. The radius of the other base (in mm) is-

Choices

Choice (4) Response

a.

90

b.

80

c.

100

d.

70

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