JEE Questions for Maths Circle And System Of Circles Quiz 12 - MCQExams.com


Maths-Circle and System of Circles-14027.png

  • Maths-Circle and System of Circles-14028.png
  • 2)
    Maths-Circle and System of Circles-14029.png

  • Maths-Circle and System of Circles-14030.png

  • Maths-Circle and System of Circles-14031.png

Maths-Circle and System of Circles-14033.png

  • Maths-Circle and System of Circles-14034.png
  • 2)
    Maths-Circle and System of Circles-14035.png

  • Maths-Circle and System of Circles-14036.png

  • Maths-Circle and System of Circles-14037.png

Maths-Circle and System of Circles-14039.png
  • The circles touch each other externally
  • The circles touch each other internally
  • The circles cut each other
  • The circles are disjoint

Maths-Circle and System of Circles-14041.png
  • (0, 0), (a, b)
  • 2)
    Maths-Circle and System of Circles-14042.png

  • Maths-Circle and System of Circles-14043.png
  • 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
  • Circles touch each other internally
  • Circles touch each other externally
  • Circles intersect at two distinct points
  • None of these

Maths-Circle and System of Circles-14046.png

  • Maths-Circle and System of Circles-14047.png
  • 2)
    Maths-Circle and System of Circles-14048.png

  • Maths-Circle and System of Circles-14049.png

  • Maths-Circle and System of Circles-14050.png
If three circles are such that each intersects the remaining two, then the radical axes
  • Form a triangle
  • Are coincident
  • Are concurrent
  • Are parallel

Maths-Circle and System of Circles-14052.png

  • Maths-Circle and System of Circles-14053.png
  • 2)
    Maths-Circle and System of Circles-14054.png

  • Maths-Circle and System of Circles-14055.png

  • Maths-Circle and System of Circles-14056.png

  • Maths-Circle and System of Circles-14057.png
The length of the diameter of the circle which touches the x-axis at the point (1,and passes through the point (2,is

  • Maths-Circle and System of Circles-14059.png
  • 2)
    Maths-Circle and System of Circles-14060.png

  • Maths-Circle and System of Circles-14061.png

  • Maths-Circle and System of Circles-14062.png
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

  • Maths-Circle and System of Circles-14064.png
  • 2)
    Maths-Circle and System of Circles-14065.png

  • Maths-Circle and System of Circles-14066.png

  • Maths-Circle and System of Circles-14067.png

Maths-Circle and System of Circles-14069.png
  • Straight line
  • Circle
  • Ellipse
  • 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

  • Maths-Circle and System of Circles-14071.png
  • 2)
    Maths-Circle and System of Circles-14072.png

  • Maths-Circle and System of Circles-14073.png
  • None of these

Maths-Circle and System of Circles-14075.png
  • 2
  • 5

  • Maths-Circle and System of Circles-14076.png

  • Maths-Circle and System of Circles-14077.png

Maths-Circle and System of Circles-14079.png
  • 0
  • 1
  • 2
  • None of these

Maths-Circle and System of Circles-14081.png

  • Maths-Circle and System of Circles-14082.png
  • 2)
    Maths-Circle and System of Circles-14083.png

  • Maths-Circle and System of Circles-14084.png
  • None of these

Maths-Circle and System of Circles-14086.png

  • Maths-Circle and System of Circles-14087.png
  • 2)
    Maths-Circle and System of Circles-14088.png

  • Maths-Circle and System of Circles-14089.png
  • None of these

Maths-Circle and System of Circles-14091.png
  • (–6, –9), (–6, 5), (8, –and (8, 5)
  • (–6, 9), (–6, –5), (8, –and (8, 5)
  • (–6, –9), (–6, 5), (8,and (8, 5)
  • (–6, –9), (–6, 5), (8, –and (8, –5)

Maths-Circle and System of Circles-14093.png

  • Maths-Circle and System of Circles-14094.png
  • 2)
    Maths-Circle and System of Circles-14095.png

  • Maths-Circle and System of Circles-14096.png
  • None of these

Maths-Circle and System of Circles-14098.png

  • Maths-Circle and System of Circles-14099.png
  • 2)
    Maths-Circle and System of Circles-14100.png

  • Maths-Circle and System of Circles-14101.png
  • None of these
A circle is inscribed in an equilateral triangle of side a, the area of any square inscribed in the circle is

  • Maths-Circle and System of Circles-14103.png
  • 2)
    Maths-Circle and System of Circles-14104.png

  • Maths-Circle and System of Circles-14105.png

  • Maths-Circle and System of Circles-14106.png

Maths-Circle and System of Circles-14108.png
  • (–1, 0)
  • 2)
    Maths-Circle and System of Circles-14109.png

  • Maths-Circle and System of Circles-14110.png

  • Maths-Circle and System of Circles-14111.png

Maths-Circle and System of Circles-14113.png
  • 3
  • 4
  • 5
  • 6

Maths-Circle and System of Circles-14115.png

  • Maths-Circle and System of Circles-14116.png
  • 2)
    Maths-Circle and System of Circles-14117.png

  • Maths-Circle and System of Circles-14118.png

  • Maths-Circle and System of Circles-14119.png

Maths-Circle and System of Circles-14121.png
  • 1
  • –1
  • 0
  • 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

  • Maths-Circle and System of Circles-14123.png
  • 2)
    Maths-Circle and System of Circles-14124.png

  • Maths-Circle and System of Circles-14125.png

  • Maths-Circle and System of Circles-14126.png

Maths-Circle and System of Circles-14128.png

  • Maths-Circle and System of Circles-14129.png
  • 2)
    Maths-Circle and System of Circles-14130.png

  • Maths-Circle and System of Circles-14131.png

  • Maths-Circle and System of Circles-14132.png

Maths-Circle and System of Circles-14134.png

  • Maths-Circle and System of Circles-14135.png
  • 2)
    Maths-Circle and System of Circles-14136.png

  • Maths-Circle and System of Circles-14137.png

  • Maths-Circle and System of Circles-14138.png

Maths-Circle and System of Circles-14140.png

  • Maths-Circle and System of Circles-14141.png
  • 2)
    Maths-Circle and System of Circles-14142.png

  • Maths-Circle and System of Circles-14143.png

  • Maths-Circle and System of Circles-14144.png

Maths-Circle and System of Circles-14146.png
  • 15 sq. units
  • 75 sq. units
  • 8 sq. units
  • 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

  • Maths-Circle and System of Circles-14148.png
  • 2)
    Maths-Circle and System of Circles-14149.png

  • Maths-Circle and System of Circles-14150.png

  • Maths-Circle and System of Circles-14151.png

Maths-Circle and System of Circles-14153.png

  • Maths-Circle and System of Circles-14154.png
  • 2)
    Maths-Circle and System of Circles-14155.png

  • Maths-Circle and System of Circles-14156.png

  • Maths-Circle and System of Circles-14157.png

Maths-Circle and System of Circles-14159.png
  • 3
  • 7
  • 10
  • None of these

Maths-Circle and System of Circles-14161.png

  • Maths-Circle and System of Circles-14162.png
  • 2)
    Maths-Circle and System of Circles-14163.png
  • At no point
  • At all points

Maths-Circle and System of Circles-14165.png

  • Maths-Circle and System of Circles-14166.png
  • 2)
    Maths-Circle and System of Circles-14167.png

  • Maths-Circle and System of Circles-14168.png

  • Maths-Circle and System of Circles-14169.png

Maths-Circle and System of Circles-14171.png
  • Straight line
  • Circle
  • Parabola
  • None of these

Maths-Circle and System of Circles-14173.png

  • Maths-Circle and System of Circles-14174.png
  • 2)
    Maths-Circle and System of Circles-14175.png

  • Maths-Circle and System of Circles-14176.png

  • Maths-Circle and System of Circles-14177.png

Maths-Circle and System of Circles-14179.png
  • Circle
  • Straight line
  • Pair of straight line
  • None of these

Maths-Circle and System of Circles-14181.png
  • A parabola
  • A circle
  • An ellipse
  • A pair of straight lines

Maths-Circle and System of Circles-14183.png

  • Maths-Circle and System of Circles-14184.png
  • 2)
    Maths-Circle and System of Circles-14185.png

  • Maths-Circle and System of Circles-14186.png
  • 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

  • Maths-Circle and System of Circles-14188.png
  • 2)
    Maths-Circle and System of Circles-14189.png

  • Maths-Circle and System of Circles-14190.png

  • Maths-Circle and System of Circles-14191.png

Maths-Circle and System of Circles-14193.png

  • Maths-Circle and System of Circles-14194.png
  • 2)
    Maths-Circle and System of Circles-14195.png

  • Maths-Circle and System of Circles-14196.png
  • None of these

Maths-Circle and System of Circles-14198.png
  • Intersecting circles
  • Non intersecting circles
  • Touching circles
  • Touching or non-intersecting circles

Maths-Circle and System of Circles-14200.png
  • 4
  • 3
  • 1
  • 0

Maths-Circle and System of Circles-14202.png

  • Maths-Circle and System of Circles-14203.png
  • 2)
    Maths-Circle and System of Circles-14204.png

  • Maths-Circle and System of Circles-14205.png

  • Maths-Circle and System of Circles-14206.png

Maths-Circle and System of Circles-14208.png

  • Maths-Circle and System of Circles-14209.png
  • 2)
    Maths-Circle and System of Circles-14210.png

  • Maths-Circle and System of Circles-14211.png
  • None of these

Maths-Circle and System of Circles-14213.png
  • 1
  • 0
  • –1
  • None of these

Maths-Circle and System of Circles-14215.png

  • Maths-Circle and System of Circles-14216.png
  • 2)
    Maths-Circle and System of Circles-14217.png

  • Maths-Circle and System of Circles-14218.png

  • Maths-Circle and System of Circles-14219.png

Maths-Circle and System of Circles-14221.png

  • Maths-Circle and System of Circles-14222.png
  • 2)
    Maths-Circle and System of Circles-14223.png

  • Maths-Circle and System of Circles-14224.png

  • Maths-Circle and System of Circles-14225.png

Maths-Circle and System of Circles-14227.png

  • Maths-Circle and System of Circles-14228.png
  • 2)
    Maths-Circle and System of Circles-14229.png

  • Maths-Circle and System of Circles-14230.png

  • Maths-Circle and System of Circles-14231.png

Maths-Circle and System of Circles-14233.png

  • Maths-Circle and System of Circles-14234.png
  • 2)
    Maths-Circle and System of Circles-14235.png

  • Maths-Circle and System of Circles-14236.png

  • Maths-Circle and System of Circles-14237.png
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