If the complex numbers `xa n dy` satisfy `x^3-y^3=98 ia n dx-y=7i ,t h e nx y=a+i b ,w h e r ea ,b , in Rdot` The value of `(a+b)//3` equals ______.

IfI_n=int_x^pix^nsinx dx ,t h e n fin d t h e v a l u eof I_5+20 I_3dot

If the complex number omega=x+iy(AA x, y in R and i^(2)=-1) satisfy the equation omega^(3)=8i , then the maximum vlaue of y is

Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the complex number z=x+i y satisfies I m((a z+b)/(z+1))=y , then which of the following is (are) possible value9s) of x? (a)-1-sqrt(1-y^2) (b) 1+sqrt(1+y^2) (c)-1+sqrt(1-y^2) (d) -1-sqrt(1+y^2)

If x , y >0,(log)_y x+(log)_x y=(10)/3 a n d x y=144 , t h e n(x+y)/2=sqrt("N")" w h e r e N" is a natural number, find the value of Ndot

If x=1/3y a n d y=1/2, t h e n x : y : z is equal to 1:2:6 b. 1:3:6 c. 2:4:6 d. 3:2:1

y=x^3e^x then, dy/dx=?

If a,x,b are in H.P. And a,y,z,b are in G.P.,then the value of (yz)/(x(y^3+z^3)) is

If n be the number of sequence a,b,c,d,e satisfying the conditions (i) a,b,c,d,e are in A.P. and G.P.both,(ii) c=3,7 then n=

If x=5a n dy=-2t h e nx-2y=9. The contrapositive of this statement is A.If x-2y=9t h e nx=5a n dy=-2 B. If x-2y!=9t h e nx!=5a n dy!=-2 C. If x-2y!=9t h e nx!=5ory!=-2 D. If x-2y!=9t h e ne i t h e rx!=5a n dy!=-2