CBSE Class 9 Answered
M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to PS meets SR at N and PS produced at L. Prove that (i) PL = 2QR (ii) QL = 2QN. ![](https://images.topperlearning.com/topper/questions/8809_image001.gif)
![](https://images.topperlearning.com/topper/questions/8809_image001.gif)
Asked by Topperlearning User | 11 Aug, 2017, 11:58: AM
(i) In
PLQ, M is the mid point of PQ and MS
QL
![](https://images.topperlearning.com/topper/questions/8809_image002.gif)
![](https://images.topperlearning.com/topper/questions/8809_image003.gif)
![](https://images.topperlearning.com/topper/questions/8809_image004.gif)
![](https://images.topperlearning.com/topper/questions/8809_image005.gif)
![](https://images.topperlearning.com/topper/questions/8809_image006.gif)
(ii) ABCD is parallelogram
SR
PQ or SN
PQ
![](https://images.topperlearning.com/topper/questions/8809_image005.gif)
![](https://images.topperlearning.com/topper/questions/8809_image003.gif)
![](https://images.topperlearning.com/topper/questions/8809_image003.gif)
In
LPQ, S is the mid point of PL and SN
PQ
![](https://images.topperlearning.com/topper/questions/8809_image002.gif)
![](https://images.topperlearning.com/topper/questions/8809_image003.gif)
![](https://images.topperlearning.com/topper/questions/8809_image004.gif)
![](https://images.topperlearning.com/topper/questions/8809_image005.gif)
Answered by | 11 Aug, 2017, 13:58: PM
Application Videos
Concept Videos
CBSE 9 - Maths
Asked by vineetyadav77050 | 25 Jul, 2021, 17:45: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:58: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 12:01: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 12:00: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 12:00: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:52: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:56: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM