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Parallel Lines with a Transversal

Can a circle ...

Question

Can a circle has pair of parallel diameters $?$

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Solution

Circle don't have any pair of parallel diameters.

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Q. Which of the following pair of lines in a circle cannot be parallel? [CBSE 2011]
(a) two chords
(b) a chord and a tangent
(c) two tangents
(d) two diameters

which of the following pairs of lines in a circle cannot be parallel ?

(a) Two chords (b) A chord and a tangent

(c) Two tangents (d) Two diameters

Q. In each of the following, state if the statement is true (T) of false (F);

(i) Every circle has a centre.
(ii) The centre of a circle is a point of the circle.
(iii) Any two radii of a circle make up a diameter.
(iv) Every chord of a circle is parallel to some diameter of the circle.
(v) A circle is symmetric about each of its diameters.
(vi) The diameter is twice the radius.
(vii) A radius is a chord of the circle.
(viii) Concentric circles have the same radii.
(ix) The nearer a chord to the centre of a circle, the longer is its length.

Q. 15. What is the maximum number of parallel tangent a circle can have on a diameter

Q. The number of pair of tangents can be drawn to a circle, which are parallel to each other, are ............

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