RRB RPF RPSF SI and CONS Model Papers 2 with solutions

Question : 11 of 120

Marks: +1, -0

The sides of a parallelogram are 12 cm and 8 cm long and one of the diagonals is 10 cm long. If d is the length of other diagonal, then which one of the following is correct?

d < 8 cm
8 cm < d < 10 cm
10 cm < d < 12 cm
d > 12 cm

Validate

Solution:

(d) In parallelogram,

d ^ { 2 } + d _ { 1 } ^ { 2 } = 2 ( l ^ { 2 } + b ^ { 2 } )

∴d ^ { 2 } + ( 10 ) ^ { 2 } & = 2 ( 64 + 144 )

⇒d ^ { 2 } = 2 ×208 - 100

⇒d ^ { 2 } = 416 - 100 = 316

⇒d =√ { 316 }

⇒d = 17.76 { cm }

d > 12

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