Let A be a variable point on the line `y = 4`. If B and C are variable points on the line `y=-4` such that triangle ABC is equilateral, then which of the following statement(s) holds good?

In a triangle ABC, let 2a^2+4b^2+ c^2= 2a(2b + c) , then which of the following holds good?

In a triangle ABC, let 2a^2+4b^2+ c^2= 2a(2b + c) , then which of the following holds good?

In a triangle ABC,let 2a^(2)+4b^(2)+c^(2)=2a(2b+c), then which of the following holds good?

Let P is a point on the line y+2x=2 and Q and R are two points on the line 3y+6x=3 . If the triangle PQR is an equilateral triangle, then its area (in sq. units) is equal to

Let P is a point on the line y+2x=2 and Q and R are two points on the line 3y+6x=3 . If the triangle PQR is an equilateral triangle, then its area (in sq. units) is equal to

P is a point on the line y+2x=1, and Q and R are two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

P is a point on the line y+2x=1, and Q and R two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

P is a point on the line y+2x=1, and Qa n dR two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

A,B,C,M are four points on a circle such that ABC forms an equilateral triangle and M lies on the are BC as in the figure.which of the following holds good?

From a variable point R on the line y = 2x + 3 tangents are drawn to the parabola y^(2)=4ax touch it at P and Q point. Find the locus of the centroid of the triangle PQR.