Question

If x, p, q, y are in A.P., then the value of p/q is? answer fast please

Answer 1

Step-by-step explanation:

Given p,q,r are in AP ⟹2q=p+r

Given

px

a−x

=

qy

a−y

=

r

a−z

=k (say)

⟹p=

kx

a

−

k

1

Similarly q=

ky

a

−

k

1

,r=

kz

a

−

k

1

2q=p+r

⟹

ky

2a

−

k

2

=

kx

a

−

k

1

+

kz

a

−

k

1

⟹

k

a

(

y

2

)=

k

a

(

x

1

+

z

1

)

⟹

y

2

=

x

1

+

z

1

⟹x,y,z are in HP

Answer 2

Given :- If x, p, q, y are in A.P., then the value of p/q is ?

Solution :-

given that, x, p, q, y are in A.P.,

so,

→ (p - x) = (q - p) = (y - q) = Let k

then,

→ p - x = k

→ p = k + x

and,

→ q - p = k

→ q = k + p

also,

→ y - q = k

→ q = y - k

then,

→ p / q = (k + x)/(k + p)

or,

→ p / q = (k + x) / (y - k)

[ Note :- here k is a constant term . ]

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