If R(x,y) is a point on the line segment joining
the points P(a,b) and Q (b,a), then prove that
а+ь=x+y
Answers
Answered by
5
Answer:
R(x,y) lies on the line segment joining the point P(a,b)and(b,a). Then P,Q,R are collinear ,so area(∆PQR)=0
Step-by-step explanation:
1/2{x(b-a)+a(a-y)+b(y-b)=0
bx-ax+a^2-ay+by-b^2=0
b(x+y)-a(x+y)+(a^2-b^2)=0
(b-a)(x+y)-(b-a)(b+a)=0
(b-a){(x+y)-(b+a)}=0
x+y=b+a
Hence proved...
Answered by
6
Step-by-step explanation:
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