Multiple choice

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:

  1. 1,2 and 3

  2. 2,3 and 4

  3. 1,3 and 4

  4. 1,2 and 4
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Two tangents to a circle can be parallel if they are at opposite ends of a diameter. Two chords can be parallel (e.g., chords equidistant from the center). A chord and a tangent can be parallel if the chord is parallel to the tangent at the point of contact. Two diameters must intersect at the center, so they cannot be parallel.

AI explanation

Two tangents drawn at the ends of a diameter are parallel to each other. Two diameters of a circle are parallel only if they form a single straight line, which represents the same diameter, meaning two distinct diameters cannot be parallel. A chord and a tangent can be parallel, such as a horizontal chord and the tangent at the top or bottom of the circle. Two distinct chords can also be parallel anywhere in the circle. Therefore, statements 1, 3, and 4 are correct.

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