In a triangle of base a the ratio of the other two sides is  r (< 1). Then the altitude of the triangle is less than or equal to  .

a) True

b) False

Let be the vertices of an n sided regular polygon such that   . Then find n.

a) 5

b) 6

c) 7

d) 8

For the equation , the number of real solutions is

a) 1

b) 2

c) 0

d)

If  and  

Then

a)  

b)  

c)  

d)  

If  then

a)

b)

c)

d)

A round balloon of radius r subtends an angle α at the eye of the observer, while the angle of elevation of the centre is β. The height of the centre of balloon is

a)

b)

c)

d)

The number of ordered pairs α,  where α,  satisfy  and

a) 0

b) 1

c) 2

d) 4

If α, β, γ are the roots of the equation  then the general value of  is

a)  

b)  

c)  

d)  Depends on the value of p

Two pillars of equal height stand on either side of a roadway which is 60 m wide. At a point in between the roadway between the pillars the angle of elevation of the top of the pillars are 60° and 30°. The height of the pillars is

a)  

b)  

c)   m

d)  

Let  and  where  Then tan2α is equal to

a)

b)

c)

d)

For a regular polygon, let r and R be the radii of the inscribed and circumscribed circles. A false statement amongst the following is

a) There is a regular polygon with

b) There is a regular polygon with

c) There is a regular polygon with

d) There is a regular polygon with

Let A and B be the statements
Statement A:
Statement B:
Then

a) Statement A is true. Statement B is false.

b) Statement A is false. Statement B is true.

c) Statement A is true. Statement B is true.

d) Statement A is false. Statement B is false.