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Q.

A straight line L is perpendicular to the line 5xy=1. The area of the triangle formed by the line L and coordinate axes is 5. The equation of the line L is 

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a

x+5y=±52

b

x+5y=±25

c

5xy=±52

d

5xy=±25

answer is A.

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Detailed Solution

Let L = 3x  4y  8. Then the value of L at (3, 4) is 3×34×48=15<0. Hence, for the point P(x, y), we should have L > 0 or 3x  4y  8 > 0 or 3x  4(3x)  8 > 0             [ P(x, y), lies on y = 3x or x>1815 and y4y8>0 or y<85

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