In triangle `A B C` , base `B C` and area of triangle are fixed. The locus of the centroid of triangle `A B C` is a straight line that is a) parallel to side `B C` (b)right bisector of side BC (c)perpendicular to BC (d)inclined at an angle `sin^(-1)((sqrt())/(B C))` to side BC

If in a triangle ABC, b sin B = c sin C, then the triangle is-

In triangle ABC, base BC is fixed. Then prove that the locus of vertex A such that tan B+tan C= Constant is parabola.

A variable triangle A B C is circumscribed about a fixed circle of unit radius. Side B C always touches the circle at D and has fixed direction. If B and C vary in such a way that (BD) (CD)=2, then locus of vertex A will be a straight line. (a)parallel to side BC (b)perpendicular to side BC (c)making an angle (pi/6) with BC (d) making an angle sin^(-1)(2/3) with B C

In triangle ABC, if (a+b+c)(b+c-a) = 3bc, state which of the following is the value of the angle A?

In a triangle ABC, if (cos A)/(a) =(cos B)/(b ) =(cos C)/(c) and the side a=2, then the area of the triangle is-

In triangle ABC if a,b,c are sides opposite of angles A, B, C respectivgely, then which of the following is correct ?

In triangle A B C ,R(b+c)=asqrt(b c),w h e r eR is the circumradius of the triangle. Then the triangle is a)isosceles but not right b)right but not isosceles c)right isosceles d)equilateral

In a triangle A B C prove that a/(a+c)+b/(c+a)+c/(a+b)<2

Let a,b,c be the sides of triangle whose perimeter is p and area is A, then

If the angles of the triangle ABC are in A.P. and b:c= sqrt3:sqrt2 then find the value of angleA