If `a^2x^4+b^2y^4=c^6,` then the maximum value of `x y` is (a)`(c^2)/(sqrt(a b))` (b) `(c^3)/(a b)` `(c^3)/(sqrt(2a b))` (d) `(c^3)/(2a b)`

If a^(2)x^(4)+b^(2)y^(4)=c^(6), then the maximum value of xy is (a) (c^(3))/(2ab) (b) (c^(3))/(sqrt(2ab)) (c) (c^(3))/(ab) (d) (c^(3))/(sqrt(ab))

(a+c sqrt(b))(2+y sqrt(b))

Prove that the greatest value of xy is c^(3)/sqrt(2ab)* if a^(2)x^(4)+b^(2)y^(4)=c^(6).

x^(2)-c^(2)=y then num radius of Delta is (A)(y)/(sqrt(3)) (B) (c)/(sqrt(3))(C)(3y)/(4)(D)(3c)/(4)

If a^(2) + b^(2) + c^(2) = 2(a-b-c)-3 , then the value of 4a - 3b + 5c is

Consider a circle x^2+y^2+a x+b y+c=0 lying completely in the first quadrant. If m_1a n dm_2 are the maximum and minimum values of y/x for all ordered pairs (x ,y) on the circumference of the circle, then the value of (m_1+m_2) is (a)(a^2-4c)/(b^2-4c) (b) (2a b)/(b^2-4c) (c)(2a b)/(4c-b^2) (d) (2a b)/(b^2-4a c)

If cosxdy/dx-y sin x=6x, (0ltxltx/2)and y(pi/3)=0 , then y(pi/6) is equal to (a) pi^(2) /(2sqrt 3) (b) -pi^(2) /(2sqrt 3) (c) -pi^(2) /(4sqrt 3) (d) (c) -pi^(2) /2

If (a-3)^(2)+(b-4)^(2) +(c-9)^(2)=0 then what is the value of sqrt(a+b+c) ?

Distance of the points (a,b,c) for the y axis is (a) sqrt(b^(2)+c^(2)) (b) sqrt(c^(2)+a^(2)) (c )sqrt(a^(2)+b^(2)) (d) sqrt(a^(2)+b^(2)+c^(2))