Home
Class 12
MATHS
There are five points A,B,C,D and E. no ...

There are five points A,B,C,D and E. no three points are collinear and no four are concyclic. If the line AB intersects of the circles drawn through the five points. The number of points of intersection on the line apart from A and B is

Text Solution

Verified by Experts

The correct Answer is:
8
Number of circles through ACD, ACE, ADE intersect the line AB=3 and
Number of circles through BCD, BCE, BDE intersect the line AB=3 and
Number of circles through CDE intersects the line AB=2 hence, number of points of intersection=3+3+2=8.
Promotional Banner

Similar Questions

Explore conceptually related problems

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is

Find the equation of the line parallel to Y -axis and drawn through the point of intersection of the lines x-7y + 5=0 and 3x +y=0 .

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

if three points are collinear , how many circles can be drawn through these points? Now, try to draw a circle passing through these three points.

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

In a plane there are 37 straight lines, of which 13 pass pass through the point B. Besides, no three lines passes both points A and B and no two are parallel, then the line passes through both points A and B and number of intersection points the lines have, is

Find the equation of line parallel to the Y- axis and drawn through the point of intersection of x-7+5 = 0 and 3x + y -7=0 .

A line intersecting a circle in two points is called a secant.

The number of line/s passing through three collinear points is ........ .

Prove that the line segment joining the centres of two intersecting circles subtends equal angles at the two points of intersection.