The fix point through which the line `x(a + 2b) + y(a + 3b) = a + b` always passes for all values of `a` and `b`, is-

Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always passes through a fixed point. Find the co-ordinate of that point.

Prove that the line x(a+2b) + y (a-3b)=a-b passes through a fixed point for different values of a and b . Also find the fixed point.

Prove that the line x(a+2b) + y (a-3b)=a-b passes through a fixed point for different values of a and b . Also find the fixed point.

The lines x(a+2b)+y(a+3b)=a+b for different values of a , b passing through a fixed point is :

If a,b,c are in H.P., then the straight line (x)/(a) + (y)/(b) + (1)/(c ) = 0 always passes through a fixed point and that point is

Show that the straight lines given by x(a+2b)+y(a+3b)= a + b for different values of a and b pass through a fixed point.

Show that the lines represented by x(a+3b)+y(2a-b)=5a+b pass through a fixed point for different values of a and b .

Show that the lines represented by x(a+3b)+y(2a-b)=5a+b pass through a fixed point for different values of a and b .

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.