Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 20 - 23 of 24

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

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.

Equation

b.

Equation

c.

Equation

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 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: 23

» 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

f Page
Sign In