JEE MATHEMATICS MCQ: CIRCLES

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Application +4 | -1

If two curves whose equations are

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

and

a^{\prime} x^2+2 h^{\prime} x y+b^{\prime} y^2+2 g^{\prime} x+2 f^{\prime} y+c^{\prime}=0

intersect in four concyclic points, then:-

View answer and explanation

Correct option: B

\frac{a-b}{h}=\frac{a^{\prime}-b^{\prime}}{h^{\prime}}

Option B (

\frac{a-b}{h}=\frac{a^{\prime}-b^{\prime}}{h^{\prime}}

) is correct because it represents the condition for two curves to intersect in four concyclic points.

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