Basic Mathematics-Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 20 - 22 of 22

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Question number: 20

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2015

MCQ▾

Question

The sides of a right –angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the in-circle of such a triangle is –

Choices

Choice (4) Response
a.

3

b.

4

c.

5

d.

2

Question number: 21

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2015

MCQ▾

Question

Among all sectors of a fixed perimeter, choose the one with maximum area. Then the angle at the centre of this sector (i. e. , the angle between the bounding radii) is –

Choices

Choice (4) Response
a.

π3

b.

3

c.

32

d.

2

Question number: 22

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2015

MCQ▾

Question

A mirror in the first quadrant is in the shape of a hyperbola whose equation is xy=1 . A light source in the second quadrant emits a beam of light that hits the mirror at the points (2,12) . If the reflected ray is parallel to the y axis, the slope of the incident beam is –

Choices

Choice (4) Response
a.

158

b.

138

c.

2

d.

74

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