InterviewSolution
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InterviewSolution
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The point which divides the line segment joining the points (7,-6) and (3,4) in ration ` 1 : 2` internally lies in theA. I quadrantB. II quadrantC. III quadrantD. Iv quadrant |
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Answer» Correct Answer - d If P(x,y) divides the line segment joining A`(x_(1),y_(1))and B(x_(2),y_(2))` internally in the ration m: n, then `x=(mx+nx_(1))/(m+n) and y=(my_(2)+ny_(1))/(m+n)` Given that , `x_(1)=7,y_(1)=-6,x_(2)=3,y_(2)=4,m=1and n=2` `:.` `x=(1(3)+2(7))/(1+2),y=(1(4)+2(-6))/(1+2)` [by section formula] `rArr x=(3+14)/(3),y=(4-12)/(3)` `rArr(17)/(3),y=-(8)/(3)` So , (x,y) `=(17/(3),-(8)/(3))` lines in IV quadrant. [Since , in quadrant , x-coordinate is positive and y-coordinate is negative] |
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