If `a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2)` is (a)`(h^2-a b)/((h x+b y)^2)` (b) `(a b-h^2)/((h x+b y)^2)` `(h^2+a b)/((h x+b y)^2)` (d) none of these

If x^(2)/a^(2)+y^(2)/b^(2)=1" then show that "(d^(2)y)/(dx^(2))=-b^(4)/(a^(2)y^(3)) .

if x^(2)/a^(2) -y^(2)/b^(2) =1, " prove that " (d^(2)y)/(dx^(2)) = - b^(4)/(a^(2)y^(3))

The locus of the point (h,k) from which the tangent can be drawn to the different branches of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (A) (k^(2))/(b^(2))-(h^(2))/(a^(2)) 0 (C) (k^(2))/(b^(2))-(h^(2))/(a^(2))=0( D) none of these

If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, prove that (d^(2)y)/(dx^(2))=-(b^(4))/(a^(2)y^(3))

x=a sec theta,y=b tan theta,pr@v et h a t(d^(2)y)/(dx^(2))=-(b^(4))/(a^(2)y^(3))

If [1 4 2 0]=[x y^2z0],y<0t h e nx-y+z= 5 (b) 2 (c) 1 (d) -3

If f(x)="cos"((log)_e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value (a) -1 (b) 1/2 (c) -2 (d) none of these

If (a+b)x =a and (a+b) y = b then the value of (x^(2)+y^(2))/(x^(2)-y^(2)) is

If x=a sec theta , y=b tantheta , then x^2/a^2-y^2/b^2 is (A) -1 (B) 0 (C) 1 (D) 2

Centre of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1(a