If the line ax + by + c = 0 is a diameter of the circle x² + y² = 4, then the value of c is
Conic sections play a significant role in coordinate geometry as they define various curves formed by the intersection of a plane with a cone. The CBSE 2024-2025 NCERT Class 11th syllabus introduces students to circles parabolas ellipses and hyperbolas along with their standard equations and properties. Understanding these concepts is essential for solving complex problems in mathematics. Multiple-choice questions help students test their knowledge and improve accuracy. Regular practice of these MCQs enhances logical reasoning and problem-solving skills. A strong foundation in conic sections is important for excelling in board exams competitive exams and advanced mathematical studies.
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Choice (a) is correct.
Given circle is x² + y² = 4
⇒ (x – 0)² + (y – 0)² = 2²
⇒ (0 – 0) is centre and 2 units is the radius of the given circle.
Now, since ax + by + c = 0 is a diameter therefore (0, 0) must lie on it
⇒ a.0 + b.0 + c = 0
⇒ 0 + 0 + c =0
⇒ c =0
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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https://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-10