[" 53.The equations "y=+-sqrt(3)x,y=1" are the sides of "],[[" (a) An equilateral triangle "," (b) A right angled triangle "],[" (c) An isosceles triangle "," (d) An obtuse angled triangle "]]

The equations y= +-sqrt3 x,y =1 are the sides of

The equations y=x sqrt3 , y =1 are the sides of :

The equation (x+y=6)(xy-3x-y+3=0) represents the sides of a triangle then the equation of the circumcircle of the triangle is

The equation of straight line x+sqrt(3)y=1 in polar coordinate is

Statement - 1 : Equations (2 pm sqrt3) x - y = 1 pm 2sqrt3 represent two sides of an equilateral triangle having one vertex (2 , 3) and x + y - 2 = 0 as the opposite side . Statement - 2 : The equation of the lines passing through (x_(1) , y_(1)) and making constant angle alpha with the line y = mx + c are given by y - y_(1) = (m pm tan alpha)/( 1 pm tan alpha) ( x - x_(1))

Statement - 1 : Equations (2 pm sqrt3) x - y = 1 pm 2sqrt3 represent two sides of an equilateral triangle having one vertex (2 , 3) and x + y - 2 = 0 as the opposite side . Statement - 2 : The equation of the lines passing through (x_(1) , y_(1)) and making constant angle alpha with the line y = mx + c are given by y - y_(1) = (m pm tan alpha)/( 1 pm tan alpha) ( x - x_(1))

The equation of one side of an equilateral triangle is x-y=0\ and one vertex is (2+sqrt(3),\ 5) . Prove that a second side is y+(2-sqrt(3))x=6 and find the equation of the third side.

The equation of one side of an equilateral triangle is x-y=0\ and one vertex is (2+sqrt(3),\ 5) . Prove that a second side is y+(2-sqrt(3))x=6 and find the equation of the third side.

Number of equilateral triangle with y=sqrt3(x-1)+2;y=- sqrt3x as two of its sides is