Two distinct ________ lines cannot be parallel to the same line.

Intersecting

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Non-intersecting

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Parallel

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A Intersecting
Two intersecting lines cannot be parallel to same line as this statement is equivalent to Euclid's fifth postulate.

Suggest Corrections

Similar questions

Which of the following statements are true ?

(i) A line segment has no definite length.

(ii) A ray has no end point.

(iii) A line has a definite length.

(iv) A line $\leftrightarrow A B$ is the same as line $\leftrightarrow B A$ .

(v) A ray $\to A B$ is the same as ray $\to B A$ .

(vi) Two distinct points always determine a unique line.

(vii) Three lines are concurrent if they have a common point.

(viii) Two distinct lines cannot have more than one point in common.

(ix) Two intersecting lines cannot both be parallel to the same line.

(x) Open half-line is the same thing as ray.

(xi) Two lines may intersect in two points.

(xii) Two lines are parallel only when they have no point in common.

Aju: A transversal is a line which intersects two lines at two distinct points.

Shubh: A transversal is a line which intersects two parallel lines at two distinct points.

Can two intersecting lines be parallel to a common line?

Join BYJU'S Learning Program