CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

PQRS is a quadrilateral in which diagonals PR and QS intersect in O.

i16

 Find the correct relation between perimeter and diagonals of the quadrilateral.



A

PQ + QR + RS + SP >  (PR + QS)

loader
B

PQ + QR + RS + SP <  (PR + QS)

loader
C

PQ + QR + RS + SP < 2 (PR + QS)

loader
D

PQ + QR + RS + SP = (PR + QS)

loader

Solution

The correct option is B

PQ + QR + RS + SP < 2 (PR + QS)


In OPQ, we have

OQ + OP > PQ     ...(i)

In OQR, we have

OQ + OR > QR     ...(ii)

In ORS, we have 

OR + OS > RS    ....(iii)

In OSP, we have

OS + OP > SP     ....(iv)

Adding (i), (ii), (iii) and (iv), we get

PQ + QR + RS + SP < 2 (PR + QS)


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More



footer-image