[" 11."(ax)/(b)-(by)/(a)=a+b],[" ax "-by=2ab" .ICBSE "2007c]

Solve the following equations: (ax)/(b)-(by)/(a)=a+b , ax-by=2ab.

Solve the following system of equations by method of cross-multiplication: (ax)/(b)-(by)/(a)=a+b,quad ax-by=2ab

intsin(ax+b) dx = -(cos(ax+b))/a + c, a ne 0

intsec^2(ax+b)=(tan(ax+b))/a +c,a ne0

int (ax+b)/(ax^2+2bx+c) dx

Prove that |(a,b,ax+by),(b,c,bx+cy),(ax+by, bx + cy, 0)| = (b^(2)-ac)(ax^(2) + 2bxy + cy^(2)) .

intsec(ax+b) tan (ax+b)dx=(sec(ax+b))/a + c, a ne0

Show that the lines ax+by+c=0, ax-by+c=0, ax-by=c ax+ by-c=0 (a ne b) enclose a rhombus whose area is (2c^(2))/(ab) sq unit.