Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 50 - 54 of 57

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Question number: 50

» 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.

Equation

b.

Equation

c.

Equation

d.

2

Question number: 51

» 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 Equation . A light source in the second quadrant emits a beam of light that hits the mirror at the points Equation . If the reflected ray is parallel to the Equation axis, the slope of the incident beam is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

2

d.

Equation

Question number: 52

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

Question

The largest perfect square that divides Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 53

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

Let Equation . Then –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation is a rational number, but not an integer

d.

Equation is an irrational number

Question number: 54

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2016

MCQ▾

Question

In a circle with centre Equation , suppose Equation are three points on its circumference such that Equation is the mid – point of minor arc Equation . Suppose when Equation ,

Equation

If Equation is doubled to Equation , then the ratio Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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