In P Q R, M is the mid-point of Q R and C is the mid-point of P M . If Q C when extended meets P R at N , then | Q N | | C N | =

Step-by-step solution

We have, M is the mid-point of Q R . C is the mid-point of P M . Draw M O such that M O is parallel to C N . N is the mid-point of P O C N= 1 2 M O M is the mid-point of Q R M O is parallel to Q N array rlrl & & M O & = 1 2 Q N & & C N & = 1 2 ( 1 2 Q N ) C N= 1 4 Q N & & | Q N C N |=4 . array