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)

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)  

Statement 1  -    only

Statement 2 – Sum of two negative integers cannot be positive
Then which one of the following codes is correct

a) Statement 1 is false. Statement 2 is true.

b) Statement 1 is true. Statement 2 is true. Statement 2 is correct explanation of statement 1.

c) Statement 1 is true. Statement 2 is true. Statement 2 is not a correct explanation of statement 1.

d) Statement 1 is true. Statement 2 is false.

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.