Question

What is the value of x, given that OP||NQ

x= 7

x=9

x=12

x= 24

Answer 1

Explanation:

It is x=24

Answer 2

(C)
`x=12`

Explanation:

Given: It is given that OP is parallel to NQ and ON=7, NM=21. PQ=x, QM=36.

To find: The value of x.

Solution: It is given that OP is parallel to NQ and ON=7, NM=21. PQ=x, QM=36, thus using the proportionality theorem, we get

`(ON)/(OM)=(PQ)/(PM)`

Substituting the given values, we have

`(7)/(7+21)=(x)/(x+36)`

Upon solving the above equation, we get

`(7)/(28)=(x)/(x+36)`

`(1)/(4)=(x)/(x+36)`

`x+36=4x`

`x=12`

Hence, the value of x is 12 and option C is correct.