JEE Questions for Maths Circle And System Of Circles Quiz 6 - MCQExams.com


Maths-Circle and System of Circles-12794.png
  • (3, 4)
  • (–3, –4)
  • (4, 3)
  • (–4, –3)

Maths-Circle and System of Circles-12795.png

  • Maths-Circle and System of Circles-12796.png
  • 2)
    Maths-Circle and System of Circles-12797.png

  • Maths-Circle and System of Circles-12798.png

  • Maths-Circle and System of Circles-12799.png

Maths-Circle and System of Circles-12801.png
  • A point
  • A circle
  • x-axis
  • y-axis

Maths-Circle and System of Circles-12802.png

  • Maths-Circle and System of Circles-12803.png
  • 2)
    Maths-Circle and System of Circles-12804.png

  • Maths-Circle and System of Circles-12805.png

  • Maths-Circle and System of Circles-12806.png

Maths-Circle and System of Circles-12807.png

  • Maths-Circle and System of Circles-12808.png
  • 2)
    Maths-Circle and System of Circles-12809.png

  • Maths-Circle and System of Circles-12810.png

  • Maths-Circle and System of Circles-12811.png
A circle touches the axis at the points(3,and (0, –3). The centre of the circle is
  • (3, –3)
  • (0, 0)
  • (–3, 0)
  • (6, –6)

Maths-Circle and System of Circles-12814.png
  • 5, –5
  • –4, 4
  • 4, –4
  • –5, 5
The circle passing through the point (–1,andtouching the y-axis at (0,also passes through the point

  • Maths-Circle and System of Circles-12816.png
  • 2)
    Maths-Circle and System of Circles-12817.png

  • Maths-Circle and System of Circles-12818.png

  • Maths-Circle and System of Circles-12819.png

Maths-Circle and System of Circles-12821.png
  • –4
  • 4
  • 0
  • 1

Maths-Circle and System of Circles-12823.png

  • Maths-Circle and System of Circles-12824.png
  • 2)
    Maths-Circle and System of Circles-12825.png

  • Maths-Circle and System of Circles-12826.png
  • None of these

Maths-Circle and System of Circles-12828.png

  • Maths-Circle and System of Circles-12829.png
  • 2)
    Maths-Circle and System of Circles-12830.png

  • Maths-Circle and System of Circles-12831.png

  • Maths-Circle and System of Circles-12832.png
The radius of a circle which touches y-axis at (0,andcuts intercept of 8 units with x-axis, is
  • 3
  • 2
  • 5
  • 8
Apoint P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number (≠1). The its locus is
  • Straight line
  • Circle
  • Parabola
  • A pair of straight line

Maths-Circle and System of Circles-12836.png

  • Maths-Circle and System of Circles-12837.png
  • 2)
    Maths-Circle and System of Circles-12838.png

  • Maths-Circle and System of Circles-12839.png

  • Maths-Circle and System of Circles-12840.png

Maths-Circle and System of Circles-12842.png
  • Circle
  • Pair of coincident straight lines
  • Pair of concurrent straight lines
  • Point

Maths-Circle and System of Circles-12844.png

  • Maths-Circle and System of Circles-12845.png
  • 2)
    Maths-Circle and System of Circles-12846.png

  • Maths-Circle and System of Circles-12847.png
  • None of these

Maths-Circle and System of Circles-12849.png

  • Maths-Circle and System of Circles-12850.png
  • 2)
    Maths-Circle and System of Circles-12851.png

  • Maths-Circle and System of Circles-12852.png
  • None of these
Locus of the centre of the circle touching both the co-ordinates axis is

  • Maths-Circle and System of Circles-12854.png
  • 2)
    Maths-Circle and System of Circles-12855.png

  • Maths-Circle and System of Circles-12856.png

  • Maths-Circle and System of Circles-12857.png
A line meets the coordinate axes in A and B. A circle is circumscribed about the triangle OAB. If m and n are the distance of the tangents to the circle at the points A and B respectively from the origin, the diameter of the circle is

  • Maths-Circle and System of Circles-12859.png
  • 2)
    Maths-Circle and System of Circles-12860.png

  • Maths-Circle and System of Circles-12861.png

  • Maths-Circle and System of Circles-12862.png

Maths-Circle and System of Circles-12864.png
  • 1
  • 3

  • Maths-Circle and System of Circles-12865.png

  • Maths-Circle and System of Circles-12866.png

Maths-Circle and System of Circles-12868.png

  • Maths-Circle and System of Circles-12869.png
  • 2)
    Maths-Circle and System of Circles-12870.png

  • Maths-Circle and System of Circles-12871.png

  • Maths-Circle and System of Circles-12872.png
The locus of a point which moves such that the sum of the squares of its distance from the three vertices of a triangle is constant, is a circle whose centre is at the
  • Incentre of the triangle
  • Centroid of the triangle
  • Orthocentre of the triangle
  • None of these

Maths-Circle and System of Circles-12875.png
  • A circle passing though origin
  • A circle of radius 2a
  • A concentric circle of radius a√2
  • None of these
The locus of the centre of a circle which always passes through the fixed points (a,and (–a, 0), is

  • Maths-Circle and System of Circles-12877.png
  • 2)
    Maths-Circle and System of Circles-12878.png

  • Maths-Circle and System of Circles-12879.png

  • Maths-Circle and System of Circles-12880.png
The equation to a circle whose centre lies at the point (–2,and which touches the line 3x-2y-6=0 at (4, 3), is

  • Maths-Circle and System of Circles-12882.png
  • 2)
    Maths-Circle and System of Circles-12883.png

  • Maths-Circle and System of Circles-12884.png
  • None of these

Maths-Circle and System of Circles-12886.png

  • Maths-Circle and System of Circles-12887.png
  • 2)
    Maths-Circle and System of Circles-12888.png

  • Maths-Circle and System of Circles-12889.png

  • Maths-Circle and System of Circles-12890.png

Maths-Circle and System of Circles-12892.png

  • Maths-Circle and System of Circles-12893.png
  • 2)
    Maths-Circle and System of Circles-12894.png

  • Maths-Circle and System of Circles-12895.png

  • Maths-Circle and System of Circles-12896.png
The area of a circle whose centre is (h, k) and radius a is

  • Maths-Circle and System of Circles-12898.png
  • 2)
    Maths-Circle and System of Circles-12899.png

  • Maths-Circle and System of Circles-12900.png
  • None of these

Maths-Circle and System of Circles-12902.png

  • Maths-Circle and System of Circles-12903.png
  • 1

  • Maths-Circle and System of Circles-12904.png
  • 12
A circle has radius 3 units and its centre lies on the line y = x –1. Then the equation of this circle, if it passes through point (7, 3), is

  • Maths-Circle and System of Circles-12906.png
  • 2)
    Maths-Circle and System of Circles-12907.png

  • Maths-Circle and System of Circles-12908.png
  • None of these
The equation of circle whose diameter is the line joining the points (–4,and (12, –is

  • Maths-Circle and System of Circles-12910.png
  • 2)
    Maths-Circle and System of Circles-12911.png

  • Maths-Circle and System of Circles-12912.png

  • Maths-Circle and System of Circles-12913.png
The equation of the circle which passes through the points (3, –and (–2,and centre lies on the line 2x – y = 3
  • None of these

  • Maths-Circle and System of Circles-12915.png
  • 2)
    Maths-Circle and System of Circles-12916.png

  • Maths-Circle and System of Circles-12917.png

Maths-Circle and System of Circles-12919.png

  • Maths-Circle and System of Circles-12920.png
  • 2)
    Maths-Circle and System of Circles-12921.png

  • Maths-Circle and System of Circles-12922.png
  • None of these

Maths-Circle and System of Circles-12924.png

  • Maths-Circle and System of Circles-12925.png
  • 2π
  • π

  • Maths-Circle and System of Circles-12926.png
The circle passing through point of intersection of the circle S = 0 and the line P = 0 is
  • S + λP = 0
  • S – λP = 0
  • λS + P= 0
  • P – λS = 0
  • All of these

Maths-Circle and System of Circles-12928.png
  • (–3, 4)
  • (–3, –4)
  • (3, 4)
  • (3, –4)

Maths-Circle and System of Circles-12930.png

  • Maths-Circle and System of Circles-12931.png
  • 2)
    Maths-Circle and System of Circles-12932.png

  • Maths-Circle and System of Circles-12933.png

  • Maths-Circle and System of Circles-12934.png

Maths-Circle and System of Circles-12936.png

  • Maths-Circle and System of Circles-12937.png
  • 2)
    Maths-Circle and System of Circles-12938.png

  • Maths-Circle and System of Circles-12939.png
  • None of these

Maths-Circle and System of Circles-12941.png

  • Maths-Circle and System of Circles-12942.png
  • 2)
    Maths-Circle and System of Circles-12943.png

  • Maths-Circle and System of Circles-12944.png

  • Maths-Circle and System of Circles-12945.png
If (x,and (3,are the extremities of a diameter of acircle with centre at (2, y), then the value of x and y are
  • x = 1, y = 4
  • x = 4, y = 1
  • x= 8,y =2
  • None of these
Circles are drawn through the point (2,to cut intercept of length 5 units on the x-axis. If their centres lie in the first quadrant, then their equations is

  • Maths-Circle and System of Circles-12947.png
  • 2)
    Maths-Circle and System of Circles-12948.png

  • Maths-Circle and System of Circles-12949.png

  • Maths-Circle and System of Circles-12950.png

Maths-Circle and System of Circles-12952.png

  • Maths-Circle and System of Circles-12953.png
  • 2)
    Maths-Circle and System of Circles-12954.png
  • Both (a) and (b)
  • None of these
The equation of the circle in the first quadrant which touches each axis at a distance 5 from the origin is

  • Maths-Circle and System of Circles-12955.png
  • 2)
    Maths-Circle and System of Circles-12956.png

  • Maths-Circle and System of Circles-12957.png

  • Maths-Circle and System of Circles-12958.png
The equation of the circle which passes through (1,and (0,and has its radius as small as possible, is

  • Maths-Circle and System of Circles-12960.png
  • 2)
    Maths-Circle and System of Circles-12961.png

  • Maths-Circle and System of Circles-12962.png

  • Maths-Circle and System of Circles-12963.png

Maths-Circle and System of Circles-12964.png

  • Maths-Circle and System of Circles-12965.png
  • 2)
    Maths-Circle and System of Circles-12966.png

  • Maths-Circle and System of Circles-12967.png

  • Maths-Circle and System of Circles-12968.png
If (α, β) is the centre of a circle passing though the origin then its equation is

  • Maths-Circle and System of Circles-12970.png
  • 2)
    Maths-Circle and System of Circles-12971.png

  • Maths-Circle and System of Circles-12972.png

  • Maths-Circle and System of Circles-12973.png

Maths-Circle and System of Circles-12975.png
  • A pair of straight lines
  • A circle
  • An ellipse
  • None of these

Maths-Circle and System of Circles-12977.png

  • Maths-Circle and System of Circles-12978.png
  • 2)
    Maths-Circle and System of Circles-12979.png

  • Maths-Circle and System of Circles-12980.png

  • Maths-Circle and System of Circles-12981.png

Maths-Circle and System of Circles-12983.png

  • Maths-Circle and System of Circles-12984.png
  • 2)
    Maths-Circle and System of Circles-12985.png

  • Maths-Circle and System of Circles-12986.png

  • Maths-Circle and System of Circles-12987.png
Four distinct points (2k, 3k) (1,(0,and (0,lieon a circle for

  • Maths-Circle and System of Circles-12989.png
  • 2)
    Maths-Circle and System of Circles-12990.png

  • Maths-Circle and System of Circles-12991.png
  • For two values of k
0:0:1


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