Q. `|(x+y,x,x),(15x+4y,4x,2x),(10x +8y,8x,3x)|=x^3`

If x=-2 and Delta=|(x+y,x,x),(5x+4y,4x,2x),(10x+8y,8x,3x)| then numerical value of Delta is

Q.det[[x+y,x,x15x+4y,4x,2x10x+8y,8x,3x]]=x^(3)

Prove that: |x+y xx5x+4y4x2x10x+8y8x3x|=x^(3)

Prove that |{:(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z):}|=x^3

If |(x, x+y, x+y+z),(2x,3x+2y, 4x+3y+2z),(3x,6x+3y, 10x+6y+3z)|=64 then the real value of x is

4x-3y=8, 6x-y=29/3

The locus of a point "P" ,if the join of the points (2,3) and (-1,5) subtends right angle at "P" is x^(2)+y^(2)-x-8y+13=0 x^(2)-y^(2)-x+8y+3=0 x^(2)+y^(2)-4x-4y=0,(x,y)!=(0,4)&(4,0) x^(2)+y^(2)-x-8y+13=0,(x,y)!=(2,3)&(-1,5)

Find the values of (x-y) , if (i) 3x + 4y = 11 , 4x + 3y = 10 (ii) 3x + 2y = 8 , 2x + 3y = 7