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Angle between the hyperbolas xy=c^(2)" a...

Angle between the hyperbolas `xy=c^(2)" and "x^(2)-y^(2)=a^(2)` is

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Cross with `vec(a):(vec(a).vec(c))vec(a)-(vec(a).vec(a))vec(c)+vec(a)xxvec(b)=0`
`implies 3vec(a)-2vec(c)+(-2hat(i)-hat(j)-hat(k))=0impliesvec(c)=-hat(i)+hat(j)-2hat(k)`
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