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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 ax2 + 4xy + 2y2 + x + y + 5 =0 and ax2 + 6xy + 5y2 + 2x + 3y + 8 = 0 . These two curves intersect at 4 concyclic points . Find ‘a’
Apply Faamily of circles concept here.that is :S1 + kS2 = 0and then for the concylic concept it must be a circle.therfore coeff. of xy should be zeroand coeff. of x^2 and coeff. of y^2 should be same.
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