Question

(b) Find the whole area included between the
curve xy2 = (-x) and it's asymptotes. 7​

Answer 1

Answer:

Class 12

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Question

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Find the whole area included between the curve x

2

y

2

=a

2

(y

2

−x

2

) & its asymptotes (asymptotes are the lines which meet the curve at infinity).

Hard

Solution

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x

2

y

2

=a

2

(y

2

−x

2

)

a

2

(y

2

−x

2

)−x

2

y

2

=0

Equating it to zero, coefficient of x

2

a

2

−y

2

=0

y=±a∥xaxis

similarly

x=±a∥yaxis

x coordinates when y=±a

x

2

=a

2

−x

2

⇒ x=±

2

a

similarly y=±

2

a

As we can see they form a square

Area=[

2a

]

2

⇒ 2a

2