KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 103 - 106 of 155

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Question number: 103

» Coordinate Geometry » Intercepts of a Line on Coordinate Axes

Appeared in Year: 2013

MCQ▾

Question

The area bounded by the curve y=cosx , the line joining (π4,cos(π4)) and (0, 2) and the line joining (π4,cos(π4)) and (0, 2) is – (Model Paper)

Choices

Choice (4) Response
a.

(4+28)π+2

b.

(4+24)π2

c.

(4+24)π+2

d.

(4+28)π2

Question number: 104

» Three Dimensional Geometry » Equations of a Line and a Plane in Different Forms

Appeared in Year: 2013

MCQ▾

Question

Suppose that the earth is a sphere of radius 6400km . The height from earth’s surface from where exactly a fourth of the earth’s surface is visible, is – (Model Paper)

Choices

Choice (4) Response
a.

3200km

b.

32003km

c.

32002km

d.

6400km

Question number: 105

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2014

MCQ▾

Question

Let C0 be a circle of radius 1. For n1 , let Cn be a circle whose area equals the area of a square inscribed in Cn1 . Then

i=0Area(Ci)

Equals to: -

Choices

Choice (4) Response
a.

π2π2

b.

π2π2

c.

1π2

d.

π2

Question number: 106

» Permutations and Combinations » Simple Applications

Appeared in Year: 2014

MCQ▾

Question

Let X be a set of 5 elements. The numbers d of ordered pairs (A,B) of subsets of X such that AϕBϕ,AB=ϕ, satisfies:

Choices

Choice (4) Response
a.

151d200

b.

101d150

c.

201d

d.

50d100

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