Q.18. If the points A (- 2, b ), B (a, b) and C (4, - 1) are collinear and a - b = 1, find the values of a and b. Share with your friends Share 0 Abhishek Jha answered this Dear Student, Here is the solution of your asked query: As per my interpretation there should be A-2,1 instead of A-2,b We have :A-2,1; Ba,b; C4,-1 as the given points.Let x1 = -2; y1 = 1 x2 = a; y2 = b x3 = 4; y3 = -1Since the given points are collinear, then area of∆ABC = 0⇒12x1y2-y3 + x2y3-y1+x3y1-y2 = 0⇒12-2b+1+a-1-1+41-b = 0⇒-2b-2-2a+4-4b = 0⇒-2a-6b = -2⇒a+3b = 1 ....1Now, a - b = 1 ...2Multiply 2 by 3, we get3a - 3b = 3 ....3add 1 and 3, we get4a = 4⇒a = 1Now, from 2, we get b = 0 Regards 0 View Full Answer Sivaramakrishnan answered this b=0 and a=1 1 Mayla Khan answered this Please find this answer 2 Darshan Dk answered this B=0 and A=1 1
