If `(-2,\ 1)` is the centroid of the triangle having its vertices at `(x ,\ 0),\ (5,\ -2),\ (-8,\ y),` then `x ,\ y` satisfy the relation `3x+8y=0` (b) `3x-8y=0` (c) `8x+3y=0` (d) `8x=3y`

Find x ,\ y satisfying the matrix equations: x[2 1]+y[3 5]+[-8-11]=0

Coordinates of the orthocentre of the triangle whose sides are 3x -2y = 6, 3x + 4y + 12 = 0 and 3x-8y+12=0 is

Find the centre and radius of the circle 3x^2 + 3y^2 - 8x - 10y + 3=0

Find the angle between the lines x+3y-8=0 and 2x-3y+6=0 .

If the area of the triangle formed by the pair of lines 8x^2 - 6xy + y^2 = 0 and the line 2x+3y=a is 7 then a=

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)

Find the equation of the sides of a triangle having B (-4, -5) as a vertex, 5x+3y-4=0 and 3x+8y+13=0 as the equations of two of its altitudes.

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

If two sides of a triangle are represented by 2x-3y+4=0 and 3x+2y-3=0 , then its orthocentre lies on the line : (A) x-y+ 8/15 = 0 (B) 3x-2y+1=0 (C) 9x-y+9/13 = 0 (D) 4x+3y+5/13=0

The equation of the tangent to the parabola y^(2)=8x which is perpendicular to the line x-3y+8=0 , is