1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Vertex
For the circl...
Question
For the circle
x
2
+
y
2
+
6
x
−
8
y
+
9
=
0
,
which of the following statements is true
A
Circle passes through the point (-3, 4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Circle touches x-axis
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Circle touches y-axis
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
Circle touches x-axis
2
√
g
2
−
c
=
2
√
9
−
9
=
0
Intercept cut on x-axis is zero. Hence circle touches x-axis.
Suggest Corrections
18
Similar questions
Q.
The common chord of the circle
x
2
+
y
2
+
6
x
+
8
y
−
7
=
0
and another circle passing through origin, which touches the line y = x, always passes through the point
(
α
,
β
)
, then
|
α
−
β
|
=
___
Q.
The common chord of the circle
x
2
+
y
2
+
6
x
+
8
y
−
7
=
0
and a circle passing through origin, and touching the line
y
=
x
, always passes through the point
Q.
Equation of a circle which passes through (3, 6) and touches the axes is
(a) x
2
+ y
2
+ 6x + 6y + 3 = 0
(b) x
2
+ y
2
– 6x – 6y – 9 = 0
(c) x
2
+ y
2
– 6x – 6y + 9 = 0
(d) None of these
Q.
Observe the following statements:
I. The circle
x
2
+
y
2
−
6
x
−
4
y
−
7
=
0
touches y-axis
II. The circle
x
2
+
y
2
+
6
x
+
4
y
−
7
=
0
touches x-axis
Then, which of the following statements is/are correct?
Q.
A variable circle always touches the line
y
−
x
and passes through the point
(
0
,
0
)
. The common chords of above circle and
x
2
+
y
2
+
6
x
+
8
y
−
7
=
0
will pass through a fixed point whose coordinates are
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Parabola
MATHEMATICS
Watch in App
Explore more
Vertex
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app