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Solution for Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0); Focus (3, 0) - CBSE (Commerce) Class 11 - Mathematics

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Question

Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0); focus (3, 0)

Solution

Vertex (0, 0); focus (3, 0)

Since the vertex of the parabola is (0, 0) and the focus lies on the positive x-axis, x-axis is the axis of the parabola, while the equation of the parabola is of the form y2 = 4ax.

Since the focus is (3, 0), a = 3.

Thus, the equation of the parabola is y2 = 4 × 3 × x, i.e., y2 = 12x

  Is there an error in this question or solution?

APPEARS IN

 NCERT Mathematics Textbook for Class 11 (with solutions)
Chapter 11: Conic Sections
Q: 9 | Page no. 247
Solution for question: Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0); Focus (3, 0) concept: Parabola - Standard Equations of Parabola. For the courses CBSE (Commerce), CBSE (Science), CBSE (Arts)
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