1^(2)-2sqrt(6)y+2=

If the line 2x+sqrt(6)y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is (-2,sqrt(6)) (b) (-5,2sqrt(6)) (1/2,1/(sqrt(6))) (d) (4,-sqrt(6))

(sqrt(2) + 1)^(6) - (sqrt(2) -1)^(6) is equal to

(sqrt(2) + 1)^(6) - (sqrt(2) -1)^(6) is equal to

(sqrt(2) + 1)^(6) - (sqrt(2) -1)^(6) is equal to

If sqrt(1-x^6)+sqrt(1-y^6) = a(x^3-y^3) then prove that (dy)/(dx)= x^2/y^2sqrt((1-y^6)/(1-x^6))

Consider two curves C_(1):(y-sqrt(3))^(2)=4(x-sqrt(2)) and C_(2):x^(2)+y^(2)=(6+2sqrt(2))x+2sqrt(3)y-6(1+sqrt(2)) ,then

The shortest distance from the point (1,2,-1) to the surface of the sphere x^(2)+y^(2)+z^(2)=54 is a) 3sqrt(6) b) 2sqrt(6) c) sqrt(6) d)2

The value of sqrt(6+2sqrt(3)+2sqrt(2)+2sqrt(6))-(1)/(sqrt(5-2sqrt(6))) is

Show that : (1)/(3-2sqrt(2))- (1)/(2sqrt(2)-sqrt(7)) + (1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5 .