Toggle navigation
Home
Study Room
AP Eamcet Engineering Online Mock Exams
AP Eamcet Medical Online Mock Exams
Exams
Features
Pricing
Login
Register
Study Room
Study Room
Eamcet Mathematics
Lessons
Algebra Functions
Algebra Mathematical Induction
Algebra Matrices
Algebra Quadratic Equations
Co - ordinate Geometry 2D Geometry
Trigonometry- Trigonometric Ratios
Vectors:Addition of Vectors
Calculus: Limits
Vectors: Scalar Product of Vectors
Trigonometry : Compound Angles
Algebra Theory of Equations
Trigonometry : Multiple And Submultiple Angles
Co - ordinate Geometry:Change of Axes
Vectors: Vector Product of Vectors
Co - ordinate Geometry:Locus
Trigonometry : Periodicity And Extreme Values
Co - ordinate Geometry:Straight Lines
Vector: Multiple Products
Probability - Probability
Probability-Random Variables
Statistics - Measures of Central Tendency
Calculus - Continuity
Calculus - Differentiation
Calculus - Errors And Approximations
Co - ordinate Geometry:System of Circles
Calculus - Tangents And Normals
Calculus - Indefinite Integration
Calculus - Definite Integration
Calculus - Areas
Calculus - Differential Equations
Algebra Binomial Theorem
Algebra Permutations And Combinations
Algebra Partial Fractions
Algebra Complex Numbers De Moivre Theorem
Co - ordinate Geometry Pair of Lines
Co - ordinate Geometry 3D Geometry
Co - ordinate Geometry Circles
Co - ordinate Geometry Parabola
Co - ordinate Geometry Ellipse
Co - ordinate Geometry Hyperbola
Trigonometry Transformations
Trigonometry Trigonometric Equations
Trigonometry Inverse Trigonometric Functions
Trigonometry Hyperbolic Functions
Trigonometry Properties of Triangles
Vectors Multiple Products
Goto
Eamcet Mathematics
Co - ordinate Geometry Circles
Take Exam
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
Previous
99 / 99
Next
Q.
If a circle passes through the point (0, 0), (a, 0), (0, b), then its centre is
A.
(a,b)
B.
(b,a)
C.
(a/2,b/2)
D.
(b/2,-a/2)
E.
None of the above
View Answer
Correct choice: C
Explanation:
Let the equation of circle be x
2
+y
2
+2gx+2fy+c=0 . Now on passing through the points, we get three equations.
c=0 ...(i)
a
2
+2ga+c=0 ...(ii)
b
2
+2fb+c=0 ...(iii)
On solving them, we get g=-a/2, f=-b/2 Hence the centre is (a/2, b/2)
Previous
99 / 99
Next