Question

The point which divides the line segment joining the points (3,-2) and (-5,-4)in ratio 1:2 internally lies in which quadrant​

Answer 1

Step-by-step explanation:

The coordinates of the points that divides the joining of the line segment with end points (a,b) and (c,d) internally in the ratio m:n are

(mc+na/m+n, md+nb/m+n)

so, the coordinates of the points which divides the line segment joining the points (3,-2) and (-5,-4) in ratio 1:2 internally are

(1×(-5) +2×3/1+2,1×(-4)+2×(-2)/1+2)

= (-5+6/3, -4-4/3)

= (1/3,-8/3)

Thus, the point lies in the 4th quadrant

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