The point O is equidistant from three sides of a triangle ABC.Consider the following statements

1.<OAC+<OCB+<OBA=90

2.<BOC=2<BAC

3.The perpendiculars drawn from any point on OA to AB and AC are always equal

Which of the above statements are correct?

ABCD is a parallelogram with AB and AD as adjacent sides.If <A=60 and AB=2AD,then diagonal BD will be equal to

There are 437 fruit plants in an orchard planted in rows.The distance between any two adjacent rows is 2m and the distance between any two adjacent plants is 2m.Each row has the same number of plants.There is 1m clearance on all sides of the orchard.What is the cost of fencing the area at the rate of Rs100 per metre?

A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute.If the radius of the wheel is 30cm,the speed of the cycle is

A square and equilateral triangle have equal perimeter.If the diagonal of the square is 12√2 cm,then the area of the triangle is

The speeds of three buses are in the ratio 2:3:4.The time taken for these three buses to travel same distance will be in the ratio