Solve:`(a-b)x+(a+b)y=a^2-2ab-b^2` and `(a+b)(x+y)=a^2+b^2`

The length of the common chord of the two circles (x-a)^2+y^2=a^2 and x^2+(y-b)^2=b^2 is

If y=a^x*b^(2x-1) , then (d^2y)/(dx^2) is

If y^2 = a^2 cos^2 x + b^2 sin^2 x, show that y + (d^2 y)/(dx^2) = (a^2 b^2)/ (y^3)

If the curve y=a x^2-6x+b pass through (0,2) and has its tangent parallel to the x-axis at x=3/2, then find the values of a and b . a) 2 and 2 b) -2 and -2 c) -2 and 2 d) 2 and -2

If a>2b>0 , then the positive value of m for which y=mx-bsqrt(1+m^2) is a common tangent to x^2+y^2=b^2 and (x-a)^2+y^2=b^2 , is

If x+iy= (a+ib)^3 , show that x/a+y/b=4( a^2 - b^2 )

If the curve y=a x^2 -6x +b passes through (0,2) and its tangent at x =3/2 is parallel to x-axis, then the values of a and b are…… A) a =b= 2 B) a =b=-2 C) a=2, b=-2 D) a=-2,b=2

If z=x+iy, z^(1/3) = a-ib and x/a-y/b=k( a^2 - b^2 ) then k=

Find the values of a and b for which the simultaneous linear equations x+2y=1 and (a-b)x+(a+b)y=a+b-2 have infinitely many solutions.

Find the tangent of the angle between the lines whose intercepts on the axes are respectively a ,-b and b ,-a ............... A) tan ^(-1)""(a^(2) +b^(2))/(ab) B) tan ^(-1)""(b ^(2) -a^(2))/(2) C) tan ^(-1)""(b^(2) -a^(2))/(2ab) D) tan ^(-1)""(b^(2) -a^(2))/(ab)