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Consider to curves ax 2 + 4xy + 2y 2 + x + y + 5 =0 and ax 2 + 6xy + 5y 2 + 2x + 3y + 8 = 0 . These two curves intersect at 4 concyclic points . Find ‘a’

Consider to curves ax+ 4xy + 2y+ x + y + 5 =0 and ax2  + 6xy + 5y2 + 2x + 3y + 8 = 0 . These two curves intersect at 4 concyclic points . Find ‘a’

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Apply Faamily of circles concept here.
that is :
S1 + kS2 = 0
and then for the concylic concept it must be a circle.
therfore coeff. of xy should be zero
and
 
coeff. of x^2 and coeff. of y^2 should be same.

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