G is the centroid of the equilateral ΔABC. If AB = 10 cm, then length of AG is

Two chords AB and CD of a circle with centre O. Intersect each other at P. If ∠AOD = 100° and ∠BOC = 70°, then the value of ∠APC is

• 80°

• 75°

• 85°

• 85°

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC = 55° then value of ∠ABC is

• 55°

• 35°

• 145°

• 145°

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

• 2 : 3

• 2 : 1

• 1 : 2

• 1 : 2

ABC is an isosceles triangle such that AB = AC and AD is the median to the base BC with ∠ABC = 35°.

Then ∠BAD is

• 35°

• 55°

• 70°

• 70°

A man goes 24 m due west and then 10 m due north. Then the distance of him from the starting point is

• 17 m

• 26 m

• 28 m

• 28 m

From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30° and 45°. Then the distance between the objects are

ABCD is a rectangle of which AC is a diagonal. The value of  is

• 2

• 1/4

• 1

• 1/2

If  then the value of x is

40.

For any real values of θ, 

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