Find the value of k , if points (-2,5) , (-5 ,-10) and (k , -13) are collinear .A. `(5)/(28)`B. `(-28)/(5)`C. 28D. 5

Find the value of k , if points (-2,5) , (-5 ,-10) and (k , -13) are c

1.	Find the value of k , if points (-2,5) , (-5 ,-10) and (k , -13) are collinear .A. `(5)/(28)`B. `(-28)/(5)`C. 28D. 5
Answer» Correct Answer - B `(-2,-5) (-5,-10)` and `(k,-13)` arec collinear `rArr (-10-5)/(-5+2) = (-13+10)/(k+5)` `rArr (-15)/(-3) = (-3)/(k+5)` `rArr 5(k+5) = -3` `rArr k +5 = (-3)/(5)` `rArr k = (-3)/(5) - 5 = (-28)/(5)` `:. K = (-28)/(5)`.

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