HyperbolaHard
Question
The locus of the point of intersection of the lines √3x - y - 4 √3k = 0 and √3kx + ky - 4 √3 = 0 for different values of k is -
Options
A.ellipse
B.parabola
C.circle
D.hyperbola
Solution
Let point of intersection is (x1, y1).
So. √3 x1 - y1 = 4 √3 K ... (i)
√3 K x1 + Ky1 = 4 √3 ... (ii)
Multiply (i) and (ii), we get 3x12 - y12 = 48.
So. √3 x1 - y1 = 4 √3 K ... (i)
√3 K x1 + Ky1 = 4 √3 ... (ii)
Multiply (i) and (ii), we get 3x12 - y12 = 48.
Create a free account to view solution
View Solution FreeMore Hyperbola Questions
P is a point on the hyperbola = 1, N is the foot of the perpendicular from P on the transverse axis. The tangent to the ...The product of the lengths of the perpendiculars drawn from foci on any tangent to the hyperbola = 1 is -...The equation of a tangent parallel to y = x drawn to = 1 is-...The equation = 1 represents...The locus of the mid points of the chords passing through a fixed point (α, β) of the hyperbola, = 1 is -...