In triangle ABC the equation of alltitudes AM and BN are x+5y-3=0,x+y-k=0 .If the altitude CL is given by 3x-y-1=0 then k=

If 2x+y=0 is one of the lines given by 3x^(2)+kxy+2y^(2)=0 , then k=

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The equation of external bisector of angle B is

The vertex C of a triangle ABC is (4,-1) . The equation of altitude AD and Median AE are 2x-3y+12=0 and 2x+3y=0 respectively then slope of side AB is :

In a triangle AbC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , Tangent of internal angle A is equal to

In Delta ABC equation to AB is 2x+3y-5=0 altitude through A is x-y+4=0 and altitude through B is 2x-y-1=0 Then the vertex C is

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

In triangle ABC ,the equation of side BC is x-y=0. The circumcenter and orthocentre of triangle are (2,3) and (5,8), respectively. The equation of the circumcirle of the triangle is x^(2)+y^(2)-4x+6y-27=0x^(2)+y^(2)-4x-6y-27=0x^(2)+y^(2)+4x+6y-27=0x^(2)+y^(2)+4x+6y-27=0

In a triangle ABC ,the bisectors of angles BandC lies along the lines x=y and y=0 . If A is (1,2) ,then the equation of line BC is (a) 2x+y=1 (b) 3x-y=5 (c) x-2y=3 (d) x+3y=1