If `\ ^n C_x=\ \ ^n C_y\ a n d\ x!=y ,\ t h e n\ x+y=ndot`

x=y ln(xy),t h e n

If ^(n)C_(x)=^(n)C_(y) and x!=y, then x+y=n

If \ ^n C_r+\ ^n C_(r+1)=\ \ ^(n+1)C_x ,\ t h e n x = a. r b. r-1 c. n d. r+1

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 , 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

Statement I: t a n5theta-t a n3theta-t a n2theta=t a n5thetat a n3thetat a n2theta Statement II: x=y+z=>t a n x-t a n y-t a n z=t a n x t a n y t a n zdot a. A b. \ B c. \ C d. D

If x ,y in R a n d2x^2+6x y+5y^2=1,t h e n a. |x|lt=sqrt(5) b. |x|geqsqrt(5) c. y^2lt=2 d. y^2lt=4

If x ,y in R a n d2x^2+6x y+5y^2=1,t h e n a. |x|lt=sqrt(5) b. |x|geqsqrt(5) c. y^2lt=2 d. y^2lt=4

The differential equation which represents the family of curves y=e^(C x) is y_1=C^2y b. x y_1-I n\ y=0 c. x\ I n\ y=y y_1 d. y\ I n\ y=x y_1

If x ,y in Ra n d2x^2+6x y+5y^2=1,t h e n |x|lt=sqrt(5) b. |x|geqsqrt(5) c. y^2lt=2 d. y^2lt=4