If the line 5x – 4y = a passes through the focus of the parabola y² = 20x, the value of a is
The concept of conic sections plays a crucial role in coordinate geometry as it helps in understanding different types of curves formed by slicing a cone. The CBSE 2024-2025 NCERT Class 11th syllabus introduces circles parabolas ellipses and hyperbolas along with their properties equations and real-life applications. This chapter strengthens problem-solving abilities by teaching students how these curves behave mathematically. Multiple-choice questions are designed to test conceptual clarity and improve analytical thinking. Regular practice of these MCQs enhances accuracy and speed. Mastering conic sections is essential for excelling in board exams competitive tests and higher-level mathematics.
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Choice (c) is correct.
The given parabola is y² = 20x, which is of the form y² = 4ax.
a = 5 and focus of the given parabola is (a , 0) i.e., (5, 0).
It is given that the line 5x – 4y = a passes through the focus (5, 0).
5(5) – 4(0) = a ⇒ a = 25
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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