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Tangent

which of the ...

Question

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

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Solution

(d) Two diameters.

All the other pairs can be parallel, but for a diameter to be parallel with another diameter it has to be the same diameter, so there is no pair. Hence two diameters can not be parallel in a circle.

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Similar questions

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

Q. Which of the following pairs of lines can be parallel?
1.Two tangents to a circle
2.Two diameters of a circle
3.A chord of circle and a tangents to a circle
4.Two chords of a circle
Select the correct answer using the codes given below:
Codes:

Q. Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at that point A .

Q. Which of the following statements is not true?
(a) If a point P lies inside a circle, no tangent can be drawn to the circle passing through P.
(b) If a point P lies on a circle, then one and only one tangent can be drawn to the circle at P.
(c) If a point P lies outside a circle, then only two tangents can be drawn to the circle from P.
(d) A circle can have more than two parallel tangents parallel to a given line.

Which of the following stateements is not true ?

(a) If a point P lies inside a circle, no tangent can be drawn to the circle, passing through P.

(b) If a point P lies on the circle, then one and only tangent can eb drawn to the circle at P.

(c) If a point P lies outside the circle, then only two tangents can be drawn to the circle from P

(d) A circle can have more than two parallel tangents, parallel to a given line.

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