Question

Find the value of k if the points A(8,1),B(3,-4), and C(2,K) are collinear.

AND

Find the value of p for which the points (-5,1),(1,p),(4,-2) are collinear.

Answer 1

IF COLLINEAR AR OF TRIANGLE IS 0
0=1/2[-5[P+2]+1[-3]+4[1-P]]                         1ST SUM
0=1/2[-5P-10-3+4-4P]                                          0=8[-4-K]+3[K-1]+2{1+4]
0=1/2[-9P-9]                                                         0=-32-8K+3K-3+2+8
0=-9P-9                                                                0=-25-5K
0=-9[P+1]                                                             0=-5[K+5]
P=-1                                                                     K=-5

Answer 2

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