If `x,a,b` are real prove that `4(a-x)(x-a+sqrt(a^2+b^2))cancelgta^2+b^2`

IF x,a,b be real , show that 4(a-x)(x-a+sqrt(a^2+b^2))cancelgta^2+b^2 .

If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

If the roots of the equation x^2+2c x+a b=0 are real unequal, prove that the equation x^2-2(a+b)x+a^2+b^2+2c^2=0 has no real roots.

If x is real,then the maximum value of y=2(a-x)(x+sqrt(x^(2)+b^(2)))

If sinx-siny=a and cosx+cosy=b,prove that tan((x+y)/2)=+-sqrt((4-a^2-b^2)/(a^2+b^2))

IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

If y=sin^(-1)((a+b cos x)/(b+a cos x)), prove that (dy)/(dx)=-(sqrt(b^(2)-a^(2)))/(b+a cos x)

If x =1/2 (sqrt(a/b)-sqrt(b/a)) then prove that (2asqrt(1+x^2))/(x+sqrt(1+x^2))= a +b