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    Circle JEE Archive DTS -1

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    Rudra gupta
    asdfghj

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    Circle JEE Archive DTS -1

    Uploaded by

    Rudra gupta
    2 views1 page
    asdfghj

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    asdfghj

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    2 views1 page

    Circle JEE Archive DTS -1

    Uploaded by

    Rudra gupta
    asdfghj

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    You are on page 1of 1

    Date Planned : __ / __ / __ Daily Tutorial Sheet - 1 Expected Duration : 90 Min

    Actual Date of Attempt : __ / __ / __ JEE Main Archive Exact Duration :_________

    1. If one of the diameters of the circle x 2  y 2  2x  6y  6  0 is a chord to the circle with centre (2, 1),
    then the radius of the circle is: [2004]
    (A) 3 (B) 2 (C) 3 (D) 2

    2. The centre of circle inscribed in square formed by the lines x 2  8 x  12  0 and y 2  14y  45  0, is :
    (A) (4, 7) (B) (7, 4) (C) (9, 4) (D) (4, 9) [2003]

    3. Let AB be a chord of the circle x 2  y 2  r 2 subtending a right angle at the centre. Then, the locus of the
    centroid of the PAB as P moves on the circle, is : [2001]
    (A) a parabola (B) a circle (C) an ellipse (D) a pair of straight lines
    4. The lines 2x  3y  5 and 3 x  4y  7 are diameters of a circle of area 154 sq units. Then, the equation of
    this circle is : [1989]
    2 2 2 2
    (A) x  y  2x  2y  62 (B) x  y  2x  2y  47

    (C) x 2  y 2  2 x  2y  47 (D) x 2  y 2  2 x  2y  62
    5. Let L1 be a straght line passing through the origin and L 2 be the straight line x  y  1. If the intercepts

    made by the circle x 2  y2  x  3y  0 on L1 and L 2 are equal, then which of the following equation can

    represent L1 ? [1999]

    (A) x y  0 (B) x y  0 (C) x  7y  0 (D) x  7y  0


    Fill in the Blanks:
    6. If A and B are points in the plane such that PA / PB  k (constant) for all P on a given circle, then the value
    of k cannot be equal to ………… [1982]
    True/False:

    7. The line x  3y  0 is a diameter of the circle x 2  y 2  6 x  2y  0. [1981]

    8. The number of common tangents to the circles x 2  y 2  4 x  6y  12  0 and x 2  y 2  6 x  18y  26  0 is:


    (A) 1 (B) 2 (C) 3 (D) 4 [2015]
    9. Let C be the circle with centre at (1, 1) and radius 1. If T is the circle centred at (0, k) passing through origin
    and touching the circle C externally, then the radius of T is equal to : [2014]
    3 3 1 1
    (A) (B) (C) (D)
    2 2 2 4

    10. If the circle x 2  y2  2 x  2ky  6  0 and x 2  y 2  2ky  k  0 intersect orthogonally, then k is :


    (A) 2 or –3/2 (B) –2 or –3/2 (C) 2 or 3/2 (D) –2 or 3/2 [2000]

    DTS - 1 56 JEE Main (Archive) | Circles

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