The length of the latus rectum of the ellipse x² /12 + y² /4 = 1 is
Shapes and curves play a vital role in mathematics and conic sections help in understanding them in depth. The CBSE 2024-2025 NCERT Class 11th syllabus covers circles parabolas ellipses and hyperbolas along with their equations properties and real-world applications. This chapter strengthens a student’s ability to analyze geometric figures and solve problems efficiently. Multiple-choice questions are included to test conceptual clarity and enhance problem-solving skills. Practicing these MCQs regularly improves logical reasoning and accuracy. A strong understanding of conic sections is essential for excelling in board exams competitive exams and higher-level mathematics and science 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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