Question

a,b,c are in A.P and x,y,z are in G.P. the points (a,x), (b,y),(C,z) are collinear if​

Answer 1

Step-by-step explanation:

x=y=z

solution: (a,x),(b,y),(c,z) are collinear so all three points will lie on same line

so, slope of line formed buy = slope of line formed by (a,x),(b,y)

=(b,y),(c,z)

⇒

b−a

y−x

=

c−b

z−y

= (1)

a,b,c are in A⋅P

so 2b=a+c

b−a=d

c−b=d

x,y,z are in G⋅P with common ratio

′

r

′

so y

2

=xz

Naw ,

b−a

y−x

=

c−b

z−y