Class 11

24. Conic Sections question bank (Maths)

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Q1.

The centre of the conic represented by the equation \(2x^2 - 72xy + 23y^2 - 4x - 28y - 48 = 0\) is 

(A)
\( \left( \frac{11}{15}, \frac{2}{25} \right) \)
(B)
\( \left( \frac{2}{25}, \frac{11}{25} \right) \)
(C)
\( \left( \frac{11}{15}, -\frac{2}{25} \right) \)
(D)
\( \left( -\frac{11}{25}, -\frac{2}{25} \right) \)
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Q2.

The centre of \( 14x^2 - 4xy + 11y^2 - 44x - 58y + 71 = 0 \) is 

(A)
\( (2, 3) \)
(B)
\( (2, -3) \)
(C)
\( (-2, 3) \)
(D)
\( (-2, -3) \)
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