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1
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The centre of the circle passing through (0, 0) and (1, 0) and touching the circle $${x^2}\, + \,{y^2} = 9$$ is :
A
$$\left( {{1 \over 2},\,{1 \over 2}} \right)$$
B
$$\left( {{1 \over 2},\, - \,\sqrt 2 } \right)$$
C
$$\left( {{3 \over 2},\,{1 \over 2}} \right)$$
D
$$\left( {{1 \over 2},\,{3 \over 2}} \right)$$
2
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
The equation of a circle with origin as a center and passing through an equilateral triangle whose median is of length $$3$$$$a$$ is :
A
$${x^2}\, + \,{y^2} = 9{a^2}$$
B
$${x^2}\, + \,{y^2} = 16{a^2}$$
C
$${x^2}\, + \,{y^2} = 4{a^2}$$
D
$${x^2}\, + \,{y^2} = {a^2}$$
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The centres of a set of circles, each of radius 3, lie on the circle $${x^2}\, + \,{y^2} = 25$$. The locus of any point in the set is :
A
$$4\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,64$$
B
$${x^2}\, + \,{y^2}\, \le \,\,25$$
C
$${x^2}\, + \,{y^2}\, \ge \,\,25$$
D
$$3\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,9$$
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