If `[(2x+y,3y),(0, 4)]=[(6, 0),( 6, 4)]` , then find `x` .

If [{:(xy,4),(z+6,x+y):}]=[{:(8,w),(0,6):}] , then find the values of x,y,z and w.

Find matrices X and Y , if X+Y=[(5, 2),( 0, 9)] and X-Y=[(3, 6),( 0,-1)] .

If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y) , find : x : y .

Solve : (2)/(x) +(2)/(3y ) = (1)/(6) and (3)/(x) + (2)/(y) =0 . Hence , find 'm' for which y = mx-4 .

Solve (2x+3y-1)dx+(4x+6y-5)dy=0 .

If two lines of regression are 4x + 2y - 3=0 and 3x + 6y + 5 = 0 , then find the correlation coefficient.

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

Given the four lines with the equations x+2y-3=0 , 3x+4y-7=0 , 2x+3y-4=0 , 4x+5y-6=0 , then

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 distance of the plane 2x - 3y + 4z - 6 = 0 from the origin.