Find the minimum value of `a x+b y` , where `x y=c^2` and `a ,\ b ,\ c` are positive.

Find the minimum value of (a x+b y), where x y=c^2dot

The minimum value of P=b c x+c a y+a b z , when x y z=a b c , is a. 3abc b. 6abc c. abc d. 4abc

If the sum of the coefficients in the expansion of (b + c)^(20) {1 +(a -2) x}^(20) is equal to square of the sum of the coefficients in the expansion of [2 bcx - (b + c)y]^(10) , where a, b, c are positive constants, then

Find the maximum and minimum value of y = asin^2x + b sinx.cosx + c cos^2x

Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 will touch each other at the point (1,0) then (a+b+c)=

Show that the minimum value of (x+a)(x+b)//(x+c) where a > c ,b > c , is (sqrt(a-c)+sqrt(b-c))^2 for real values of x > -c .

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)

STATEMENT-1 : If a^(x) = b^(y) = c^(z) , where x,y,z are unequal positive numbers and a, b,c are in G.P. , then x^(3) + z^(3) gt 2y^(3) and STATEMENT-2 : If a, b,c are in H,P, a^(3) + c^(3) ge 2b^(3) , where a, b, c are positive real numbers .

Solve: a x+b y=c ,\ \ \ \ b x+a y=1+c

Solve: a x+b y=c ,\ \ \ \ b x+a y=1+c