If the curves and intersect at four concyclic points

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If the curves

ax^2 + 4xy + 2y^2 + x + y + 5 = 0

and

ax^2 + 6xy + 5y^2 + 2x + 3y + 8 = 0

intersect at four concyclic points, then the value of

a

is (1)

-6

(2)

-4

(3)

4

(4)

6