If(x2 + y2) = aetan (y/x), a > 0 then y (0) is(A)©#220-1/2® ach?D Does not exist

If x ^(2) - 2x ^(2) y ^(2) + 5x + y-5 =0 and y (1) then y '' (1)=

solve y d x+x log (y/x) d y-2 x d y=0

If y=1/(1+x+x^2+x^3) , then value of (d^2y)/(dx^2) at x=0 is

solve x^2 d y+(x y+y^2) d x=0 , y=1 when x=1

The equation of the circle through the points of intersection of x y -1 -0, x y -2x-4 y l 0 and touching the line x 2y 0, is (B) x y 2 x+20 (C) x y (D) 2 (x2 y x 2

If y is a function of x and log(x+y)-2xy=0 then the value of y(0) is equal to (a)1(b)-1( c) 2( d) 0

Let f((x+y)/(2))=1/2 |f(x) +f(y)| for all real x and y, if f '(0) exists and equal to (-1), and f(0)=1 then f(2) is equal to-

Observe the following statements: statement I: The radical centre of S-=x^2+y^2-1=0 S' -= x^2+y^2+6x-2y-1=0 S''-=x^2+y^2-12x+4y-1=0 does not exist. statement II : The radical centre of three circles whose centers are collinear does not exist because radical axes of each pair of circles are parallel.