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Offline Centres

Statement-1: A pole standing in the centre
of a rectangular field of area 2500 sq. units subtends
angle $α$ and $β$ respectively at the mid-points of two adjacent
sides of the field such that $α + β = π / 2$ , the height of the pole
is 25 sq. units.
Statement-2: Area of a rectangle is equal to the product of
the length of the adjacent sides.

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STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for
STATEMENT-1

STATEMENT-1 is True, STATEMENT-2 is False

STATEMENT-1 is False, STATEMENT-2 is True

answer is A.

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Detailed Solution

Statement-2 is True. In statement-1 if the
height of the pole is $h$ , then the length of the adjacent

sides of the field are $2 h \cot α$ and $2 h \cot β$ and the area is

$4 h^{2} \cot α \cot β = 4 h^{2} as α + β = π / 2 \Rightarrow \cot α \cot β = 1$

So $4 h^{2} = 2500 \Rightarrow h = 25 sq$ units and the statement-1 is
True using statement-2.

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