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How many tangents can a circle have ?...

How many tangents can a circle have ?

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Draw a circle, Identify a point on it. Cut arcs on the circle with the length of the radius in succession. How many parts can the circle be divided into? Give reason.

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Knowledge Check

  • How many common tangents can be drawn to the following circles x^(2)+y^(2)=6 and x^(2)+y^(2)+6 x+2 y+1=0

    A
    4
    B
    3
    C
    2
    D
    1

  • How many real tangents can be drawn to the ellipse 5 x^(2)+9 y^(2)=32 from the point (2,3)?

    A
    2
    B
    1
    C
    0
    D
    3

  • How many tables can be included in a database?

    A
    Only one
    B
    Two or more.
    C
    A maximum of three
    D
    Many

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    Explore conceptually related problems

    Fill in the blanks (iv) The common point of a tangent to a circle and the circle is called ……………..

    Fill in the blanks : (iv) The common point of a tangent to a circle and the circle is called________.

    Prove that the tangents to a circle at the end points of a diameter are parallel.

    Fill in the blanks (i) A tangent to a circle touches it in …... Point (s). (ii) A line intersecting a circle in two points is called a ….. (iii) Number of tangents can be drawn to a circle parallel to the given tangent is …. (iv) The common point of a Tangent to a circle and the circle is called ..... (v) We can draw ..... tangents to a given circle. (vi) A circle can have ..... parallel tangents at the most.

    If 4 sides of a quadrilateral ABCD are tangents to a circle, then

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