How many lines can be drawn to pass through three given points if they are not collinear?
A. 6
B. 3
C. 0
D. Data Insufficient.
Answer
653.1k+ views
Hint: In general not collinear points are those three points which don't lie on the same line.
Complete step-by-step solution -
Let we have three non-collinear points A , B and C.
To draw any line we need only two points.
So we can draw a line from A to B , B to C and C to A as in below diagram
So total numbers of possible lines are 3.
Hence from three noncollinear points we can draw three lines.
Option B correct.
Notes: When we draw a line order doesn’t matter. Means if we draw a line from A to B or B to A is the same.
So don’t count lines in reverse order means B to A , C to B and A to C because lines remain the same.
Complete step-by-step solution -
Let we have three non-collinear points A , B and C.
To draw any line we need only two points.
So we can draw a line from A to B , B to C and C to A as in below diagram
So total numbers of possible lines are 3.
Hence from three noncollinear points we can draw three lines.
Option B correct.
Notes: When we draw a line order doesn’t matter. Means if we draw a line from A to B or B to A is the same.
So don’t count lines in reverse order means B to A , C to B and A to C because lines remain the same.
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