Non Zero Real Numbers Equation Represents JEE Advanced Maths Question

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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