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JEE Questions for Maths Circle And System Of Circles Quiz 12 - MCQExams.com
JEE
Maths
Circle And System Of Circles
Quiz 12
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The circles touch each other externally
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The circles touch each other internally
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The circles cut each other
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The circles are disjoint
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(0, 0), (a, b)
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2)
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None of these
A circle with radius 12 lies in the first quadrant and touches both the axes, another circle has its centre at (8,and radius 7. Which of the following statements is true
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Circles touch each other internally
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Circles touch each other externally
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Circles intersect at two distinct points
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None of these
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2)
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If three circles are such that each intersects the remaining two, then the radical axes
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Form a triangle
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Are coincident
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Are concurrent
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Are parallel
Explanation
By property
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The length of the diameter of the circle which touches the x-axis at the point (1,and passes through the point (2,is
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ABCD is a square the length of whose side is a. Taking AB and AD as the co-ordinate axes, the equation of th circle passing through the vertices of the square, is
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Straight line
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Circle
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Ellipse
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Hyperbola
The equation of the circle with origin as centre passing through the vertices of an equilateral triangle whose median is of length 3a is
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2
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5
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0
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1
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None of these
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None of these
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(–6, –9), (–6, 5), (8, –and (8, 5)
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(–6, 9), (–6, –5), (8, –and (8, 5)
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(–6, –9), (–6, 5), (8,and (8, 5)
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(–6, –9), (–6, 5), (8, –and (8, –5)
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None of these
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None of these
A circle is inscribed in an equilateral triangle of side a, the area of any square inscribed in the circle is
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(–1, 0)
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3
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6
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1
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–1
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0
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None of these
The normal at the point (3,on a circle cuts the circle at the point (–1, –2). Then the equation of the circle is
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15 sq. units
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75 sq. units
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8 sq. units
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4 sq. units
Let PQ and RS be tangents at the extremeties of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals
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3
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7
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10
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None of these
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At no point
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At all points
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Straight line
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Circle
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Parabola
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None of these
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Circle
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Straight line
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Pair of straight line
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None of these
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A parabola
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A circle
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An ellipse
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A pair of straight lines
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None of these
Consider a family of circles which are passing throough the point (–1,and are tangent to x-axis . If (h,k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval
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None of these
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Intersecting circles
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Non intersecting circles
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Touching circles
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Touching or non-intersecting circles
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4
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1
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0
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1
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–1
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None of these
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