The equation (ax2 + by2 + c)(x2

IIT JEE Advanced 2008 Maths Question Paper
MCQ (Single Correct Answer)
Marks: +3, -1
Question:
Let a and b be non-zero real numbers.
Then, the equation (ax2 + by2 + c)(x2 – 5xy + y2) = 0 represents
Option A : Four straight lines, when c = 0 and a, b are of the same sign.
Option B : Two straight lines and a circle, when a = b and c is of sign opposite to that of a.
Option 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
Option 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
Solution:
This question is asked in IIT JEE Advanced 2008 Maths Questions Paper and it is from Differential Equations Chapter.
The solution of this question is as below. 
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