The center of the circle (x + 3)² + (y + 1)² – 25 = 0 lies on the line
The chapter Conic Sections in the CBSE 2024-2025 NCERT Class 11th syllabus explores the curves formed by the intersection of a plane with a cone. It covers circles parabolas ellipses and hyperbolas along with their standard equations and key properties. These concepts are essential for understanding coordinate geometry and solving mathematical problems effectively. Multiple-choice questions help students assess their understanding and improve problem-solving accuracy. Regular practice of these MCQs enhances logical thinking and analytical skills. A strong grasp of conic sections is crucial for performing well in board exams competitive tests and higher studies in mathematics.
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Choice (a) is correct.
The given circle is (x + 3)² + (y + 1)² – 25 = 0
⇒ [x – (-3)]² + [ y – (-1)]² =(5)²
⇒ (-3, -1) is the centre of the circle.
On checking whether (-3, -1) lies on options (a) or (b) or (c) or (d), we find that it lies on 5x + y + 16 = 0
5 (-3) + (-1) + 16 = 0 which is true.
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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