Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 20 - 23 of 64

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Question number: 20

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2012

MCQ▾

Question

Suppose Q is a point on the circle with centre P and radius 1, as shown in the figure; R is a point outside the circle such that QR = 1 and ∠QRP = 2? . Let S be the point where the segment RP intersects the given circle. Then measure of ∠RQS equals.

A circle with center P and radius 1

A Circle With Center P and Radius 1

In figure shows that Q is a point on the circle with P and radius 1, R is point outside the circle such that QR = 1.

Choices

Choice (4) Response

a.

89

b.

87

c.

88

d.

86

Question number: 21

» Basic Mathematics » Geometry » Lines and Angles

Appeared in Year: 2013

MCQ▾

Question

Ten points lie in a plane so that no three of them are collinear. The number of lines passing through exactly two of these points and dividing the plane into two regions each containing four of the remaining points is,

Choices

Choice (4) Response

a.

10

b.

1

c.

5

d.

Dependent on the configuration of points

Question number: 22

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

A cow is tied to a corner (vertex) of a regular hexagonal fenced area of side a meter by a rope of length meter in a grass field. (The cow cannot graze inside the fenced area. ) What is the maximum possible area of the grass field to which the cow has access to graze?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 23

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60 then the area of BEF is.

Choices

Choice (4) Response

a.

90

b.

80

c.

60

d.

120

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