If tan A+cot A=4 then (tan²)²A+(cot ²)²A is equal to

The angle of elevation of a cloud from a point 200m above the lake is 30° and angle of depression of its reflection in the lake is 60°.

The height of the cloud is

The angles of elevation of the top of a tower from two points P and Q at distances m² and n² respectively,from the base and in the same straight line with it are complementary.The height of the tower is

If  (3-tan²A)/(1-3tan²A)=K whre K is a real number,then cosec A(3sin A-4sin³A) is equal to

If cos A=tan B,cos B=tan C,cos C=tan A,then sin A is equal to 

Consider the following statements

1.Let D be a point on the side BC of a triangle ABC.If area of a triangle ABD=area of a triangle ACD,then for all points  O on AD,area of triangle ABO=area of triangle ACO

2.If G is a point of concurrence  of medians of a triangle ABC,then the area of a triangle ABG=area of a triangle BCG=area of a triangle ACG

Which of the above statement are correct?