Question

Mathematics (11)

The curves whose equations are

S = ax2 + 2hxy + by2 + 2gx + 2fy + c = 0

S¢ = a¢x2 + 2h¢xy + b¢y2 + 2g¢x + 2f¢y + c¢ = 0

intersect in four concyclic points then find relation in a, b, h, a¢, b¢, h¢.

\(2 a+\frac{a-b}{h}=\frac{a^{\prime}-b^{\prime}}{h^{\prime}}\)

\(2 b+\frac{a-b}{h}=\frac{a^{\prime}-b^{\prime}}{h^{\prime}}\)

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

\(\text { 2b- } \frac{a-b}{h}=\frac{a^{\prime}-b^{\prime}}{h^{\prime}}\)

View Answer & Solution

Correct Answer: C (\(\frac{a-b}{h}=\frac{a^{\prime}-b^{\prime}}{h^{\prime}}\)) C

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