Solve the equations: `ax^2+bxy+cy^2=bx^2+cxy+ay^2=d`.

If the equation ax^2 +2hxy + by^2 = 0 and bx^2 - 2hxy + ay^2 =0 represent the same curve, then show that a+b=0 .

If the equation ax^2 +2hxy + by^2 = 0 and bx^2 - 2hxy + ay^2 =0 represent the same curve, then show that a+b=0 .

Find the value of x and y by solving given linear equations ax + by = a^2 ; bx + ay = b^2

Solve the following linear equations: ax + by = c bx + ay = 1+c

Factorise the following : ax^2 + by^2 + bx^2 + ay^2

One of the lines represented by the equation ax^(2)+bxy+cy^(2)=0 bisects an angle between the co-ordinate axes

Factorise: ax ^(2) + by^(2) + bx^(2) + ay^(2)

Consider the linear equations ax +by+cz=0,bx+cy+az=0 and cx+ay+bz=0