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Previous Year Question (PYQs)



Line intersect on the hyperbola at points $(-2,-6)$ and $(4,2)$, and their asymptotes are $(1,-2)$. Then the centre of the hyperbola is





Solution

Midpoint of intersecting points $(-2,-6)$ and $(4,2)$ gives centre: $\left(\dfrac{-2+4}{2}, \dfrac{-6+2}{2}\right) = (1,-2)$.


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