If `x>0`, `y>0` and `x^(2)y^(2)=6`, and if the least value of `3x+4y` is `P` then the sum of digits in `P` is equal to.

If x>0,y>0,z>0 and x^(2)*y^(3)*z^(4)=512 then the least value of 2x+3y+4z is equal to

If x^(2)+y^(2)=4 then sum of maximum and minimum values of 3x+4y is equal to

Find the least value of (x-2)^(2)+(y-2)^(2) under the condition 3x+4y-2=0

Find the least value of (x-1)^(2) + (y-2)^(2) under the condition 3x+4y -2 = 0.

If the pair of lines represented by the equation 6x^(2)+17xy+12y^(2)+22x+31y+20=0 be 2x+3y+p=0 and 3x+4y+q=0 then the sum of digits of p^(2)+q^(2)- is equal to

Let P be an arbitrary point having sum of the squares of the distances from the planes x+y+z=0, lx-nz=0 and x-2y+z=0 , equal to 9. If the locus of the point P is x^(2)+y^(2)+z^(2)=9 , then the value of l-n is equal to ________.

If 4^(x)2^(y) = 128 and 3^(3x)3^(2y) - 9^(xy) = 0 , then the value of x + y can be equal to

If x ^(2) + y^(2) - 14 x - 6y - 6=0, then the maximum possible value of 3x + 4y is (where (x,y) is a point on the given curve)