Latest IIT-JEE Aptitude Question SOLUTION: Let a and b be non-zero real numbers. Then, the equation (ax2 + by2 + c) (x2 – 5xy + 6y2) = 0 represents (A) four straight lines, when c = 0 and a, b are of the same sign (B) two

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Let a and b be non-zero real numbers. Then, the equation (ax2 + by2 + c) (x2 – 5xy + 6y2) = 0 represents
(A) four straight lines, when c = 0 and a, b are of the same sign
(B) two straight lines and a circle, when a = b, and c is of sign opposite to that of a
(C) two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of a
(D) a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.

Asked In IIT-JEE Chandni Maurya (10 years ago)

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Chandni Maurya  (10 years ago)

Let a and b be non-zero real numbers. Then, the equation (ax^2 + by^2 + c) (x^2 – 5xy + 6y^2) = 0 represents,
(A) four straight lines, when c = 0 and a, b are of the same sign
(B) two straight lines and a circle, when a = b, and c is of sign opposite to that of a
(C) two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of a
(D) a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.

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