The three medians AD, BE and CF of a Δ ABC intersect at point G. If the area of Δ ABC is 60 cm², then the area of the quadrilateral BDGF is

• 15 cm²

• 20 cm²

• 30 cm²

• 10 cm²

P and Q are the midpoints of two chords (not diameter) AB and AC of a circle with center O. OP and OQ lines are extended to points S and R respectively, to touch the circle. In major arc T is another point between R and S. Then if ∠BAC = 32° then ∠RTS = ?

• 74°

• 106°

• 64°

• 32°

From the top of a cliff 90 m high, the angles of depression of the top and bottom of a  tower are observed to be 30° and 60° respectively. The height of the tower is

• 60 m

• 75 m

• 30 m

• 45 m

A triangle is formed by the x-axis and the lines 2x + y  = 4 and x - y + 1 = 0 as three sides. Taking the side along x-axis as its base, the corresponding altitude of the triangle is

• 3 units

• √5 units

• 1 units

• 2 units

125.

If  and P cosθ = 1,  then the value of P is

• 

• 

• 2

• 

Side AB of rectangle ABCD is divided into four equal parts by points x, y, z. The ratio of the

is

• 1/6

• 1/9

• 1/8

• 1/7

The marked price of a shop keeper for an article is 30% higher than the cost price. If he sells the article allowing 10% discount to customers, then the gain percent will be

• 

• 

• 15

• 17

If sin (x + y) = cos {3 (x + y)}, then the value of tan {2(x + y)} is

• 1

• 0

• 

• 

If sec θ - cosec θ = 0,  then the value of (sec θ + cosec θ)

• 

• 0

• 

• 

Two equal circles pass through each other's centre. If the radius of each circle is 5 cm, what is the length of the common chord?

• 5√3

• 10√3

• 5√3 / 2

• 5