Question

if the points P(-3,a) Q(a,b) andR(4,-5) are colinear and a+b=1 then find the values if a and b

Answer 1

We know that if points (x1,y1); (x2,y2);(x3,y3) are collinear, then12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)] = 0Since P(−3,9); Q(a,b); R(4,−5) are collinear, then 12[−3(b+5)+a(−5−9)+4(9−b)] = 0⇒−3b−15−14a+36−4b=0⇒−14a−7b+21 = 0⇒2a+b−3 = 0⇒2a+b = 3 .....(1)Now, a + b = 1 .......(2)Subtracting (2) from (1), we geta = 2Now, from (2), we get b = −1
Was this answer helpful2984% users found this answer helpful.


Why do you think this post is offensive?

It has foul language
It is irrelevant
Any other
SUBMIT
Ask question

Google
Question Posted Successfully
Pl solve Q no 3 and 4
Answer and get 500 points