Ratio in Which Line Divides Segment Joining 2 Points
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Q. A rod of length l moves such that its ends A and B always lie on the lines 3x−y+5=0 and y+5=0 respectively. Then the locus of the point P which divides AB internally in the ratio of 2:1, is
- l2=14(3x+3y−5)2+(3y+15)2
- l2=14(3x−3y+5)2+(3y−5)2
- l2=14(3x−3y−5)2+(3y−5)2
- l2=14(3x−3y−5)2+(3y+15)2
Q. A rod of length l moves such that its ends A and B always lie on the lines 3x−y+5=0 and y+5=0 respectively. Then the locus of the point P which divides AB internally in the ratio of 2:1, is
- l2=14(3x+3y−5)2+(3y+15)2
- l2=14(3x−3y+5)2+(3y−5)2
- l2=14(3x−3y−5)2+(3y−5)2
- l2=14(3x−3y−5)2+(3y+15)2
Q. The ratio in which the line 3x+2y=2 divides the line joining the points (−6, −2) and (4, 3) is
- 3:1 internally
- 3:2 internally
- 2:3 externally
- 3:2 externally