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

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

In a triangle ABC,vertex angles A,B,C and side BC are given .The area of triangle ABC is

A triangle A B C is an isosceles triangle if any one of the following conditions hold: Bisector of /_B A C is perpendicular to the base B C

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

ABC is a triangle and G (4, 3) is the centroid of the triangle. If A = (1, 3), B = (4, b) and C = (a, 1), find 'a' and 'b'. Find the length of side BC.

A triangle A B C is an isosceles triangle if any one of the following conditions hold: Altitude A D bisects /_B A C Bisector of /_B A C is perpendicular to the base B C

A triangle A B C is an isosceles triangle if any one of the following conditions hold: (a) Altitude A D bisects /_B A C (b) Bisector of /_B A C is perpendicular to the base B Cdot

A triangle A B C is right angled at A. AL is drawn perpendicular to B C . Prove that /_B A L=/_A C Bdot

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. parallel to side BC perpendicular to side BC making an angle (pi/6) with BC making an angle sin^(-1)(2/3) with B C

Triangles A B C and DBC are on the same base B C with A, D on opposite side of line B C , such that a r(triangle A B C)=a r( triangle D B C) . Show that B C bisects A D .