The centre of the circle x² + y² + 6x + 2y = 0 is
Understanding conic sections is essential for mastering coordinate geometry as they describe curves formed by the intersection of a plane with a cone. The CBSE 2024-2025 NCERT Class 11th syllabus covers important curves like circles parabolas ellipses and hyperbolas along with their standard equations properties and applications. This chapter helps students develop a strong mathematical foundation by exploring different forms and characteristics of these curves. Multiple-choice questions are included to test conceptual understanding and improve problem-solving skills. Regular practice of these MCQs enhances accuracy logical reasoning and speed. A solid grasp of conic sections is crucial for excelling in board exams competitive tests and higher mathematical studies.
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Choice (d) is correct.
The given circle is x² + y² + 6x + 2y = 0 ⇒ x² + 6x + 9 + y² + 2y + 1 = 9 + 1
⇒ (x + 3)² + (y + 1)² = 10 ⇒ {x – ( -3)}² = 10
Thus, the centre of the circle is (-3, -1).
This question related to Chapter 10 maths Class 11th NCERT. From the Chapter 10: Conic Section. Give answer according to your understanding.
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