The equations of the sides `A B ,\ B C\ a n d\ C A\ of\ "triangle"A B C\ a r e\ y-x=2,\ x+2y=1\ a n d\ 3x+y+5=0` respectively. The equation of the altitude through B is `x-3y+1=0` b. `x-3y+4=0` c. `3x-y+2=0` d. none of these

Three sides A B ,A Ca n dC A of triangle A B C are 5x-3y+2=0,x-3y-2=0a n dx+y-6=0 respectively. Find the equation of the altitude through the vertex Adot

The equations of two equal sides A Ba n dA C of an isosceles triangle A B C are x+y=5 and 7x-y=3 , respectively. Then the equation of side B C if a r( A B C)=5u n i t^2 is x-3y+1=0 (b) x-3y-21=0 3x+y+2=0 (d) 3x+y-12=0

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 equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

In triangle A B C , the equation of side B C 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 a) x^2+y^2-4x+6y-27=0 b) x^2+y^2-4x-6y-27=0 c) x^2+y^2+4x-6y-27=0 d) x^2+y^2+4x+6y-27=0

Find the equations of the medians of a triangle, the equations of whose sides are: 3x+2y+6=0,\ 2x-5y+4=0\ a n d\ x-3y-6=0

The equations of the sides of a triangle are x-3y=0,4x+3y=5,3x+y=0. The line 3x-4y=0 passes through (A) Incentre (B) Centroid (C) Orthocentre (D) Circumcentre

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these