KAUN BANEGA COMMANDO Episode 3 | 9 PM | NDA 2 2021 , Airfoce X & Y Group | Navy SSR/AA | Doubtnut

1 + 5x + 3y = 9 2x 3y = 12 X = (x, y) - 4

The minimum value of the expression 3x + 2y (AA x, y >0) , where xy^(2) = 10 , occurs when the value of y is equal to

I fcos ^ (- 1) x / a + cos ^ (- 1) y / b = (5pi) / 12andsin ^ (- 1) x / a-sin ^ (- 1) y / b = pi / 12t hen ( x ^ 2) / (a ^ 2) + (y ^ 2) / (b ^ 2) = 1) 12) 1 & sol43) 3 & sol4

3x + 2y le 14, 3x + y le 9, x,y ge 0

If f (x) is continous and fifferentiable in [-3,9] and f'(x) in [-2,8] AA x in (-3,9). Let N be the number of divisors of the greatest possible vaue of f (9)-f (-3), then the sum of digits of N.

Solve : (3)/(x + y ) + ( 2)/(x - y ) = 2 and (9)/(x + y ) - ( 4)/(x - y) = 1 .

Statement - 1 : Equations (2 pm sqrt3) x - y = 1 pm 2sqrt3 represent two sides of an equilateral triangle having one vertex (2 , 3) and x + y - 2 = 0 as the opposite side . Statement - 2 : The equation of the lines passing through (x_(1) , y_(1)) and making constant angle alpha with the line y = mx + c are given by y - y_(1) = (m pm tan alpha)/( 1 pm tan alpha) ( x - x_(1))

Tangents to the curve y=2x^(3)-2 at the points x= pm 2 are

If f((x + 2y)/3)=(f(x) + 2f(y))/3 AA x, y in R and f(x) is continuous at x = 0. Prove that f(x) is continuous for all x in R.

If y=1+2sin x+3cos^(2)x, find the maximum and minimum values of y AA x in R