UPSEE Solved Model Paper 7

Given equation is
(x2+y2)sin2α = (xcosβ−ysinβ)2
⇒ x2(sin2α−cos2β) + 2 xy sin β cos β + y2(sin2α−sin2α) = 0 ... (i)
Let the angle between the lines representing by (1) is θ
∴ tan θ = 2|

√h2−ab

a+b

|
=
=
= 2

√sinα(1−sin2α)

|−cos2α|

=

2sinαcosα

|−cos2α|

= tan 2α
⇒ θ = 2α