दिखाएँ की रेखाओं `x/a+y/b=1, x/b=y/b=1, x/a+y/b=-1, x/b+y/b=-1` से बने समान्तर चतुर्भुज के विकर्ण परस्पर लम्ब है।

Prove that the diagonals of the parallelogram formed by the four lines : x/a +y/b=1,x/b+y/a= 1, x/a + y/b = -1 and x/b + y/a = -1 are at right angles .

Prove that the diagonals of the parallelogram formed by the lines x/a +y/b=1,x/b+y/a= 1, x/a + y/b = 2 and x/b + y/a = 2 are at right angles . Also find its area (a != b)

Solve: a x+b y=c ,\ \ \ \ b x+a y=1+c

Solve: a x+b y=c ,\ \ \ \ b x+a y=1+c

Prove that the diagonals of the parallelogram formed by the four lines : (x)/(a)+(y)/(b)=1 , (x)/(a)+(y)/(b)=-1 , (x)/(a)-(y)/(b)=1 , (x)/(a)-(y)/(b)=-1 are at right angles.

If (a)/(b)=1-(x)/(y) , then (b)/(a)=

Straight lines (x)/(a)+(y)/(b)=1, (x)/(b)+(y)/(a)=1,(x)/(a)+(y)/(b)=2 and (x)/(b)+(y)/(a)=2 form a rhombus of area ( in square units)

if 1 / (ab') + 1 / (ba') = 0 , then lines x/ a + y / b =1 and x / (b') + y / (a') = 1 are

Prove that the parallelogram formed by the lines x/a+y/b=1,x/b+y/a=1,x/a+y/b=2and x/b+y/a=2 is a rhombus.