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P Q R S is a parallelogram. P X and QY a...

`P Q R S` is a parallelogram. `P X` and `QY` are respectively, the perpendiculars from `P` and `Q` to `S R` and `R S` produced. then

A

`PX=QY`

B

`SX=RY`

C

Both A and B

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
PS=QR( opposite sides of parallelogram are equal)
`/_PSR+/_QRS=180^@`
`/_PSR=180^@-/_QRS-(1)`
`/_2+/_QRS=180^@`
`/_2=180^@-/_QRS-(2)`
`/_2=/_PSR=/_1`
`In /_PYS` and `/_QRY`
PS=QR
...
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