[" 8."x+y=a+b],[qquad ax-by=a^(2)-b^(2)]

x+y=a+b,ax-by=a^(2)-b^(2)

Solve: (x)/(a)+(y)/(b)=2,quad ax-by=a^(2)-b^(2)

{:(x + y = a + b),(ax - by = a^(2) - b^(2)):}

Solve for x and y by cross multiplication method x + y = a + b ax – by = a^(2) – b^(2)

Solve for xandy: (x)/(a)+(y)/(b)=2,ax-by=a^(2)-b^(2)

Solve by the method of substitution: x+y=a+b, ax-by=a^2-b^2

The value of y which satisfies (x)/(a)=(y)/(b) and ax+by=a^(2)+b^(2) is

(x)/(a)-(y)/(b)=0,ax+by=a^(2)+b^(2)

The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y=0 which subtend a right angle at (a/2, b/2) is (a) a x+b y=0 (b) a x+b y=a^2+b^2 (c) x^2+y^2-a x-b y+(a^2+b^2)/8=0 (d) x^2+y^2-a x-b y-(a^2+b^2)/8=0