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Let a and b be bonzero real numbers. The...

Let a and b be bonzero real numbers. Then the equation `(ax^(2)+by^(2)+c)(x^(2)-5xy+6y^(2))=0` represents

A

four straight lines, when c = 0, a and 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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The correct Answer is:
B
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