Mark the correct

Given equation is:

x2 + y2 + 2x - 4y + 5 = 0

We know that for a pair of straight lines ax2 + 2hxy + by2 + 2gx + 2fy + c = 0, the conditions to be satisfied is abc + 2fgh - af2 - bg2 - cf2 = 0, h2≥ab, g2≥ca and f2≥bc.

Here we can see that h = 0 a = b = 1

h2 = 02 = 0

ab = 1.1 = 1

h2≤ab. So, the equation doesn’t represent a pair of straight lines.

x2 + y2 + 2x - 4y + 5 = 0

(x2 + 2x + 1) + (y2 - 4y + 4) = 0

(x + 1)2 + (y - 2)2 = 0

The equation represents circle with zero radius. This is a point circle.

The correct option is (a).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

The equation of tRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

Show that tRD Sharma - Mathematics

If the circle x<sRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

The circle xRD Sharma - Mathematics

If the circles x<RD Sharma - Mathematics

If the centroid oRD Sharma - Mathematics