JEE Questions for Maths Circle And System Of Circles Quiz 13 - MCQExams.com


Maths-Circle and System of Circles-14239.png

  • Maths-Circle and System of Circles-14240.png
  • 2)
    Maths-Circle and System of Circles-14241.png

  • Maths-Circle and System of Circles-14242.png

  • Maths-Circle and System of Circles-14243.png

Maths-Circle and System of Circles-14245.png
  • Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
  • Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
  • Statement 1 is true, statement 2 is false
  • Statement 1 is false, statement 2 is true

Maths-Circle and System of Circles-14247.png
  • Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
  • Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
  • Statement 1 is true, statement 2 is false
  • Statement 1 is false, statement 2 is true

Maths-Circle and System of Circles-14249.png

  • Maths-Circle and System of Circles-14250.png
  • 2)
    Maths-Circle and System of Circles-14251.png

  • Maths-Circle and System of Circles-14252.png

  • Maths-Circle and System of Circles-14253.png

Maths-Circle and System of Circles-14255.png

  • Maths-Circle and System of Circles-14256.png
  • 2)
    Maths-Circle and System of Circles-14257.png

  • Maths-Circle and System of Circles-14258.png

  • Maths-Circle and System of Circles-14259.png

Maths-Circle and System of Circles-14261.png

  • Maths-Circle and System of Circles-14262.png
  • 2)
    Maths-Circle and System of Circles-14263.png

  • Maths-Circle and System of Circles-14264.png

  • Maths-Circle and System of Circles-14265.png

Maths-Circle and System of Circles-14267.png
  • 0.75
  • 1.25
  • 1
  • 0.5

Maths-Circle and System of Circles-14269.png
  • Hyperbola
  • Ellipse
  • Parabola
  • Parts of straight line

Maths-Circle and System of Circles-14271.png

  • Maths-Circle and System of Circles-14272.png
  • 2)
    Maths-Circle and System of Circles-14273.png
  • 1 sq.units
  • 2 sq.units

Maths-Circle and System of Circles-14275.png

  • Maths-Circle and System of Circles-14276.png
  • 2)
    Maths-Circle and System of Circles-14277.png

  • Maths-Circle and System of Circles-14278.png

  • Maths-Circle and System of Circles-14279.png

Maths-Circle and System of Circles-14281.png

  • Maths-Circle and System of Circles-14282.png
  • 2)
    Maths-Circle and System of Circles-14283.png

  • Maths-Circle and System of Circles-14284.png

  • Maths-Circle and System of Circles-14285.png

Maths-Circle and System of Circles-14287.png
  • 2
  • 3
  • 5
  • 6

Maths-Circle and System of Circles-14289.png
  • 3
  • 5
  • 6
  • 7
Match the statements in column-I with the properties in Column-II
Maths-Circle and System of Circles-14291.png

  • Maths-Circle and System of Circles-14292.png
  • 2)
    Maths-Circle and System of Circles-14293.png

  • Maths-Circle and System of Circles-14294.png

  • Maths-Circle and System of Circles-14295.png

Maths-Circle and System of Circles-14297.png

  • Maths-Circle and System of Circles-14298.png
  • 2)
    Maths-Circle and System of Circles-14299.png

  • Maths-Circle and System of Circles-14300.png

  • Maths-Circle and System of Circles-14301.png

Maths-Circle and System of Circles-14303.png
  • No points
  • One point
  • Two points
  • None of these
A circle lies in the second quadrant and touches both the axis. If the radius of the circle be 4, then its equation is

  • Maths-Circle and System of Circles-14305.png
  • 2)
    Maths-Circle and System of Circles-14306.png

  • Maths-Circle and System of Circles-14307.png

  • Maths-Circle and System of Circles-14308.png

Maths-Circle and System of Circles-14310.png

  • Maths-Circle and System of Circles-14311.png
  • 2)
    Maths-Circle and System of Circles-14312.png

  • Maths-Circle and System of Circles-14313.png
  • None of these

Maths-Circle and System of Circles-14315.png
  • Centre (–1, –2), radius = 2
  • Centre (2, 1), radius = 1
  • Centre (1, 2), radius = 3
  • Centre (–1, 2), radius = 2
If the point (2,(0, 1), (4,and (0, c) are con-cyclic, then c is equal to

  • Maths-Circle and System of Circles-14317.png
  • 2)
    Maths-Circle and System of Circles-14318.png

  • Maths-Circle and System of Circles-14319.png
  • None of these

Maths-Circle and System of Circles-14321.png
  • 5
  • 2)
    Maths-Circle and System of Circles-14322.png

  • Maths-Circle and System of Circles-14323.png
  • 15
The diameter of a circle is AB and C is another point on circle, then the area of triangle ABC, will be
  • Maximum, if the triangle is isosceles
  • Minimum, if the triangle is isosceles
  • Maximum, if the triangle is equilateral
  • None of these
If a circle of constant radius 3k passes through the origin and meets the axes at A and B, the locus of the centroid of the triangle OAB is the circle

  • Maths-Circle and System of Circles-14325.png
  • 2)
    Maths-Circle and System of Circles-14326.png

  • Maths-Circle and System of Circles-14327.png

  • Maths-Circle and System of Circles-14328.png

Maths-Circle and System of Circles-14330.png

  • Maths-Circle and System of Circles-14331.png
  • 2)
    Maths-Circle and System of Circles-14332.png

  • Maths-Circle and System of Circles-14333.png

  • Maths-Circle and System of Circles-14334.png
Locus of a point which moves such that sum of the square of its distance from the sides of a square of side units is 9, is
  • Straight line
  • Circle
  • Parabola
  • None of these

Maths-Circle and System of Circles-14337.png

  • Maths-Circle and System of Circles-14338.png
  • 2)
    Maths-Circle and System of Circles-14339.png

  • Maths-Circle and System of Circles-14340.png

  • Maths-Circle and System of Circles-14341.png
A variable circle passes through the fixed point A(p, q) and touches x-axis. The locus of the order end of the diameter through A is

  • Maths-Circle and System of Circles-14343.png
  • 2)
    Maths-Circle and System of Circles-14344.png

  • Maths-Circle and System of Circles-14345.png

  • Maths-Circle and System of Circles-14346.png

Maths-Circle and System of Circles-14348.png

  • Maths-Circle and System of Circles-14349.png
  • 2)
    Maths-Circle and System of Circles-14350.png

  • Maths-Circle and System of Circles-14351.png

  • Maths-Circle and System of Circles-14352.png

Maths-Circle and System of Circles-14354.png
  • 75 sq. units
  • 150 sq. units
  • 15 sq. units
  • None of these

Maths-Circle and System of Circles-14356.png
  • Straight line
  • Circle
  • Ellipse
  • None of these
Two tangents are drawn from a point P on radical axis to the two circles touching art Q and R respectively then triangle formed by joining PQR is
  • Isosceles
  • Equilateral
  • Right-angled
  • None of these

Maths-Circle and System of Circles-14358.png

  • Maths-Circle and System of Circles-14359.png
  • 2)
    Maths-Circle and System of Circles-14360.png

  • Maths-Circle and System of Circles-14361.png
  • None of these

Maths-Circle and System of Circles-14363.png
  • 4
  • 2)
    Maths-Circle and System of Circles-14364.png
  • 5

  • Maths-Circle and System of Circles-14365.png

Maths-Circle and System of Circles-14367.png

  • Maths-Circle and System of Circles-14368.png
  • 2)
    Maths-Circle and System of Circles-14369.png

  • Maths-Circle and System of Circles-14370.png

  • Maths-Circle and System of Circles-14371.png

Maths-Circle and System of Circles-14373.png

  • Maths-Circle and System of Circles-14374.png
  • 2)
    Maths-Circle and System of Circles-14375.png

  • Maths-Circle and System of Circles-14376.png

  • Maths-Circle and System of Circles-14377.png

Maths-Circle and System of Circles-14378.png

  • Maths-Circle and System of Circles-14379.png
  • 2)
    Maths-Circle and System of Circles-14380.png

  • Maths-Circle and System of Circles-14381.png

  • Maths-Circle and System of Circles-14382.png

Maths-Circle and System of Circles-14384.png

  • Maths-Circle and System of Circles-14385.png
  • 2)
    Maths-Circle and System of Circles-14386.png

  • Maths-Circle and System of Circles-14387.png
  • 1

Maths-Circle and System of Circles-14389.png

  • Maths-Circle and System of Circles-14390.png
  • 2)
    Maths-Circle and System of Circles-14391.png

  • Maths-Circle and System of Circles-14392.png
  • None of these

Maths-Circle and System of Circles-14394.png

  • Maths-Circle and System of Circles-14395.png
  • 2)
    Maths-Circle and System of Circles-14396.png

  • Maths-Circle and System of Circles-14397.png

  • Maths-Circle and System of Circles-14398.png

Maths-Circle and System of Circles-14400.png
  • A.P.
  • G.P.
  • H.P.
  • None of these

Maths-Circle and System of Circles-14402.png

  • Maths-Circle and System of Circles-14403.png
  • 2)
    Maths-Circle and System of Circles-14404.png

  • Maths-Circle and System of Circles-14405.png

  • Maths-Circle and System of Circles-14406.png

Maths-Circle and System of Circles-14408.png

  • Maths-Circle and System of Circles-14409.png
  • 2)
    Maths-Circle and System of Circles-14410.png

  • Maths-Circle and System of Circles-14411.png

  • Maths-Circle and System of Circles-14412.png

Maths-Circle and System of Circles-14414.png

  • Maths-Circle and System of Circles-14415.png
  • 2)
    Maths-Circle and System of Circles-14416.png

  • Maths-Circle and System of Circles-14417.png
  • None of these

Maths-Circle and System of Circles-14419.png
  • A.P.
  • H.P.
  • G.P.
  • A.G.P.

Maths-Circle and System of Circles-14421.png

  • Maths-Circle and System of Circles-14422.png
  • 2)
    Maths-Circle and System of Circles-14423.png

  • Maths-Circle and System of Circles-14424.png

  • Maths-Circle and System of Circles-14425.png

Maths-Circle and System of Circles-14427.png

  • Maths-Circle and System of Circles-14428.png
  • 2)
    Maths-Circle and System of Circles-14429.png

  • Maths-Circle and System of Circles-14430.png

  • Maths-Circle and System of Circles-14431.png

Maths-Circle and System of Circles-14433.png
  • a, b, c are in A.P.
  • a, b, c are in G.P.

  • Maths-Circle and System of Circles-14434.png

  • Maths-Circle and System of Circles-14435.png
The value of λ such that the line joining the origin to the points of intersection of the line x + y = 1 and the curve x2 + y2 + x −2y − λ= 2 0 are mutually perpendicular is

  • Maths-Circle and System of Circles-14437.png
  • 2)
    Maths-Circle and System of Circles-14438.png
  • 2
  • 3
A point P moves such that the sum of the square of its distances from the sides of a square of side unity is 9. Then the locus of P is

  • Maths-Circle and System of Circles-14440.png
  • 2)
    Maths-Circle and System of Circles-14441.png

  • Maths-Circle and System of Circles-14442.png

  • Maths-Circle and System of Circles-14443.png
A triangle is formed by the lines whose combined equation is given by (x + y – 4)(xy – 2x – y += 0. The equation of its circumcircle is
  • x2 + y2 – 5x – 3y + 8 = 0
  • x2 + y2 – 3x – 5y + 8 = 0
  • x2 + y2 – 3x – 5y – 8 = 0
  • none of these
0:0:1


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