Qus : 2
4 For the two circles x 2 + y 2 = 16 and x 2 + y 2 − 2 y = 0 , there is/are
1 One pair of common tangents 2 Two pair of common tangents 3 Three pair of common tangents 4 No common tangents Go to Discussion
Qus : 3
2 The number of common tangents to the circle x 2 + y 2 = 4 and x 2 + y 2 − 6 x − 8 y = 24 is
1 0 2 1 3 3 4 4 Go to Discussion
Solution Qus : 4
1 The point of intersection os circle
and the line
is
1 (-6, 3) 2 (3,-6) 3 (6,-3) 4 (-3,6) Go to Discussion
Solution Qus : 5
3 The circles whose equations are
and
will touch one another externally, if
1 2 3 4 None of these Go to Discussion
Solution Qus : 7
2 Find the number of point(s) of intersection of the
ellipse
and the circle x
2 + y
2 = 4
1 4 2 3 3 2 4 1 Go to Discussion
Solution Qus : 8
1 A circle touches the X-axis and also touches another circle with centre at (0, 3) and radius 2.
Then the locus of the centre of the first circle is
1 a parabola 2 a hyperbola 3 a circle 4 an ellipse Go to Discussion
Solution Qus : 9
1 The radius of the circle passing through the foci of the ellipse x 2 16 + y 2 9 and having it centre
at (0, 3) is
1 4 units2 3 units3 √ 12 units4 7 2 unitsGo to Discussion
Solution Qus : 10
2 If two circles
x 2 + y 2 + 2 g x + 2 f y = 0 and x 2 + y 2 + 2 g ′ x + 2 f ′ y = 0 touch each other then whichof the following is true?
1 g f = g ′ f ′ 2 g ′ f = g f ′ 3 g g ′ = f f ′ 4 None of these Go to Discussion
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