How many lines can be drawn that pass through two different lines?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

Infinite

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

We know that if one point is fixed, we can draw an infinite number of lines through it.
Let's draw some lines that can be drawn through a single point. Consider a single fixed point to be O.
seo

However, we are given two different points here.
If we look at each point separately, there are an infinite number of lines that can be drawn through each point. If we take two distinct points A and B, the figure below shows how many lines each point can have if taken separately.
seo

However, if we try to draw a line that passes through both points, we can only draw one line that passes through both points.
seo

AB is the only single straight line that connects both points.
As a result, the number of lines that can be drawn that intersect at two different points is one.
∴ Correct option is 1.

Watch 3-min video & get full concept clarity