Question

Reduce the conic x2+6xy+y2 - 8 = 0 to standard form. Hence identify the given conic.

02 Feb 2018
Answer :
Word Count : 400
To reduce the conic equation \( x^2 + 6xy + y^2 - 8 = 0 \) to its standard form, we follow these steps: ### Step 1: Write the equation in matrix form We rewrite the conic in the general form: \[ Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 \] Here, we have: - \( A = 1 \) - \( B = 6 \) - \( C = 1 \) - \( D = 0 \) - \( E = 0 \) - \( F = -8 \) So,
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