Question
Download Solution PDFThe radius of the circle represented by the equation 16(x2 + y2) + 24x + 32y - 9 = 0 is?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The radius of the circle represented by the general equation x2 + y2 + 2gx + 2fy + c = 0 is given by r2 = g2 + f2 - c > 0, with the center at (-g, -f).
Calculation:
The given equation of the circle can be written as:
16(x2 + y2) + 24x + 32y - 9 = 0
⇒ x2 + y2 +
Comparing this with the general form of the circle's equation, we have:
g =
Now, radius =
=
=
=
Last updated on Jun 20, 2025
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