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Question

Which of the follwing statements are correct ?
1. The coordinates of the point R which divides the line

segment joining two points P(x1,y1,z1) and Q(x2,y2,z2)

externally in the ratio m:n are (mx2+nx1m+n,my2+ny1m+n,mz2+nz1m+n).

2. If R divides PQ internally in the ratio m:n, then its coordinates

are obtained by replacing n by -n in the statement 1.


A

Only 1

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B

Only 2

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C

Both 1 and 2

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D

None of these

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Solution

The correct option is D

None of these


1. The coordinates of the point R which divides the line segment

joining two points P(x1,y1,z1) and Q(x2,y2,z2) internally in

the ratio m:n are (mx2+nx1m+n,my2+ny1m+n,mz2+nz1m+n).

2. If the point R divides PQ externally in the ratio m:n, then its coordinates are obtained by replacing n by -n so that the

coordinates of point R will be (mx2nx1mn,my2ny1mn,mz2nz1mn)

So,both the given statements are false.


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