Suppose the circle having equation x2+y2=3 intersects the rectangular hyperbola xy=1 at points A,B,C,andD˙ The equation x2+y2−3+λ(xy−1)=0,λ∈R, represents. a pair of lines through the origin for λ=−3 an ellipse through A,B,C,andD for λ=−3 a parabola through A,B,C,andD for λ=−3 a circle for any λ∈R

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Suppose the circle having equation {x}^{{2}}+{y}^{{2}}={3} int

Question

Suppose the circle having equation $x^{2} + y^{2} = 3$ intersects the rectangular hyperbola $x y = 1$ at points $A, B, C, a n d D ˙$ The equation $x^{2} + y^{2} - 3 + λ (x y - 1) = 0, λ \in R,$ represents. a pair of lines through the origin for $λ = - 3$ an ellipse through $A, B, C, a n d D$ for $λ = - 3$ a parabola through $A, B, C, a n d D$ for $λ = - 3$ a circle for any $λ \in R$

Views: 767 students

Found 2 tutors discussing this question

Elizabeth Discussed

Suppose the circle having equation

x^{2} + y^{2} = 3

intersects the rectangular hyperbola

x y = 1

at points

A, B, C, a n d D ˙

The equation

x^{2} + y^{2} - 3 + λ (x y - 1) = 0, λ \in R,

represents. a pair of lines through the origin for

λ = - 3

an ellipse through

A, B, C, a n d D

for

λ = - 3

a parabola through

A, B, C, a n d D

for

λ = - 3

a circle for any

λ \in R

5 mins ago

Discuss this question LIVE