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Byju's Answer
Standard XI
Mathematics
Point Slope Form of a Line
If the equati...
Question
If the equation (4a − 3) x
2
+ ay
2
+ 6x − 2y + 2 = 0 represents a circle, then its centre is
(a) (3, −1)
(b) (3, 1)
(c) (−3, 1)
(d) none of these
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Solution
(c) (−3, 1)
If the equation (4a − 3) x
2
+ ay
2
+ 6x − 2y + 2 = 0 represents a circle, then we have:
Coefficient of x
2
= Coefficient of y
2
⇒
4
a
-
3
=
a
⇒ a = 1
∴ Equation of the circle =
x
2
+
y
2
+
6
x
-
2
y
+
2
=
0
Thus, the coordinates of the centre is
-
3
,
1
.
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