Math, asked by krishna9645, 11 months ago

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 Archnavashisht2004
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 neha2663
6

Step-by-step explanation:

muje khud kuch samj nhi ara yaar

kya answer karu mei ....

maths tho haar wakat sar dard hi hei

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