QUESTION---- 'C' is a circle, 'L' is a line and 'P' is a point on line 'L'. if C,L and P are in the same plane and P is inside C, how many points do C and L have in common?
ANSWER---- The answer is "2"..but i couldnt understand how it become "2"...can someone give me good explanation for it
ASKED BY-- KAPIL SHARDHA
ASKED BY-- KAPIL SHARDHA
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8 comments:
hey is that so simple or am i so stupid
rationality behind the answer 2 is that as the point p is inside the circle c....suppose the entire system is in a cordinae..and considering in the x plane..
so as the point "p" is on the line l..indicates that its cuts the circle c...thereby pnly two point will be common between circle and a line...the two extreme...
the above answer is from gundaswami vellore..
ya absolutely...evn i ws gng 2 explain u wid da same ques....i mean,it ws a ver simple questn or probably our deduction of d solution is jst too easy...bt wateva it is,isnt dis logic fair enuf!! dnt get tensed n mess up d simpler question,buddy!!! all d best
-jess!! keep rockin' ;)
since the point P is inside C and on the line L ,the Line L has to intersect the circle C in 2 points.... draw for urself on a paper to understand better
Draw a circle a line and mark any point in the line.Make the point to lie inside the circle and observe the number of intersections the line makes with the circle.
Actually there are three cases when a point on a line,the line and the circle lie on the same plane.
case 1: the point lies outside the circle: In this case the line may or may not intersect with the circle as the point is exterior.
Case 2: the point lies on the circle.In this case the line touches the circle
Case 3: The point lies inside the circle:In this case the line has no option but to intersect the circle in 2 points.
Draw the figure and u will cum to know
@ KAPIL SHARDHA
I got ur point....
u r basically confused with the definition of a circle.....
circle is the periphery (remember the definition a circle is the set of all points in a plane at a fixed distance ) and not the region within otherwise obviously there will be infinite points :)
here c is a circle and the point p lies inside the circle .suppose consider c as a diameter. and u told that c lies on the line l. thats why l is a diameter .diameter touches the circumference of the circle in two places. thats why the common points are only 2.
in question,he is given that the line is inside the circle,so,draw any line inside the circle,there will b 2 points in common for both line and circle,thats it
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