IGNOU MTE 5 2018 - Reduce the conic you obtained in (i) above to standard form

Question

Reduce the conic you obtained in (i) above to standard form

12 Feb 2018

Answer :

Word Count : 329

To provide a detailed answer to your question, I need specific information about the conic obtained in part (i) and the form to which you want to reduce it (e.g., standard form for a circle, ellipse, hyperbola, or parabola). However, I'll illustrate the general process of reducing a conic equation to standard form in analytical geometry.

Suppose you have a conic given by the equation:

\[Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0\]

The standard form of conics varies based on the type of conic. Let's consider the standard forms for the most common conics:

1. Circle:
Standard Form: \( (x - h)^2 + (y - k)^2 = r^2 \)
To convert to standard form, complete the square for both \(x\) and \(y\)

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