Q.

Statement-I : A straight line through the point (h, k) where h > 0 and k > 0, makes positive intercepts on the coordinate axes.  Then the minimum length of line intercepted between the coordinate axes is  (h23+k23)32
Statement-II : Let A+B=π3 and A,B lies in the first quadrant. The maximum value of TanA·TanB is 13

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a

Statement-I is true, Statement-II is false

b

Statement-I is false, Statement-II is true

c

Both the statements are true

d

Both the statements are false

answer is B.

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Detailed Solution

 Line equation is yk=m(xh)  intersect positive x-axis and y-axis at A, B
Find AB length f(x)=x2+y2,y=x8;   f'(x)=0x=4,y=4 

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