AIEEE 2008

JEE Main 2008 Mathematics question on Straight Lines and Pair of Lines

Let aa and bb be non-zero and real numbers. Then, the equation (ax2+by2+c)(x2−5xy+6y2)=0(ax^2 + by^2 + c)(x^2 - 5xy + 6y^2) = 0 represents
  1. A.
    four straight lines, when c=0c = 0 and aa, bb are of the same sign
  2. B.
    two straight lines and a circle, when a=ba = b and cc is of sign opposite to that of aa
  3. C.
    two straight lines and a hyperbola, when aa and bb are of the same sign and cc is of sign opposite to that of aa
  4. D.
    a circle and an ellipse, when aa and bb are of the same sign and cc is of sign opposite to that of aa
Show answer

Correct option: B

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