The points and are joined by a line segment

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The points A(−4,3)A(-4,3) and B(6,−5)B(6,-5) are joined by a line segment. Point RR divides ABAB internally in the ratio 1:21:2. A point P(k,1)P(k,1) is such that PR=5PR=5 units. (i) Show that the coordinates of RR are (2,−1)(2,-1). (ii) Using the given condition, find the possible value(s) of kk. (i) Show that the coordinates of RR are (2,−1)(2,-1). (ii) Using the given condition PR=5PR=5, find the possible value(s) of kk.

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