The value of is equal to :
The angles A,B and C of a triangle ABC are in A.P. and .
If c = 4 cm , then the area ( in sq. cm) of this triangle is:
Let S be the set of all such that the equation, has a solution. Then S is equal to:
The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be from a point A on the plane. Let B be the point 30 m vertically above point A. If the angle of elevation of distance (in m) of the foot of the tower from the point A is:
The derivative of ,
with respect to , where is :
The number of solutions of the equation is :
The equation represents a straight line lying in :
first, third and fourth quadrants
third and fourth quadrants only
first, second and fourth quadrants
second and third quadrants only
If , where ,
, , then for all
is equal to :
ABC is a triangular park with AB = AC = 100 metres.A vertical tower is situated at the midpoint of BC. if the angles of elevation of the top of the tower at A and B are respectively , then the height of the tower (in meters) is :
The value of is :
Two poles are standing on a horizantal ground are of heights respectively . The line joining their tops makes an angle of with the ground . Then the distance ( in m ) between the poles, is :
Then the sum of the elements of is :
The value of is:
If the lengths of the sides of a triangle are in A.P. and the greatest angle is double the smallest, then a ratio of lengths of the sides of this triangle is :
is equal to :
(Where c is a constant of integration.)
If then is equal to :
If and then is equal to :
If where then is equal to :
No option matched.
Given for a with usual notation.
If then the ordered triad has a value :
In a triangle, the sum of lengths of two sides is and the product of the lengths of the same two sides is .
If , where c is the length of the third side of the triangle, then the circumradius of the triangle is :