If `y=3^(x-1)+3^(-x-1)` , then the least value of `y` is (a)`2` (b)`6` (c)`2//3` (d)`3//2`

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3- (log)_3 2 (c) log(3/2) (d) none of these

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3- (log)_3 2 (c) log(3/2) (d) none of these

If the slope of y=3x^(2) + ax^(3) is maximum at x= (1)/(2) , then the value of a is a)2 b)1 c)-1 d)-2

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3-(log)_3 2 log(3/2) (d) none of these

If 3^(2x-y)=3^(x+y)=sqrt(27), the value of y is a.(1)/(2) b.(3)/(4) c.(1)/(4) d.(3)/(2)

If [2x+y4x5x-74x]=[77y-13yx+6] then the value of x+y is x=3,y=1 (b) x=2,y=3(c)x=2,y=4(d)x=3y=3

Let x , y be two variables and x >0, x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , y=1 (b) x=2 , y=3 (c) x=2 , y=4 (d) x=3 , y=3

If (x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2)=144,(x_(2)-x_(3))^(2)+(y_(2)-y_(3))^(2)=25 and (x_(3)-x_(1))^(2)+(y_(3)-y_(1))^(2)=169, then the value of det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2) is 30(b)30^(2)(c)60(d)60^(2)