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Question

The value of parameter 'a' so that the line (3a)x+ay+a21=0 is a normal to the curve xy=1 is/are:

A
(3,)
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B
(,0)
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C
(0,3)
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D
none of these
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Solution

The correct options are
A (3,)
B (,0)
Slope of Normal at P(x1,y1) is x2(>0)
Slope of given line is (a3)a0
(a3)a0

numerator and denometer both positive
a30 and a>0
aϵ[3,)

numerator and denometer both negative
a30 and a<0
aϵ(,0)

aϵ(,0)[3,)
Hence, options 'A' and 'B' are correct.

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