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Q.

Determine the ratio of the areas of $△ M N O, △ M O P$ and $△ M P Q$ and.

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a

3:1:4

b

1:3:2

c

2:3:1

d

1:2:3

answer is A.

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Detailed Solution

To determine the ratio of the areas of

△ M N O, △ M O P

and

△ M P Q

.
We know that the ratio of areas of the triangles, when they have common altitude, is basically the ratio of the bases of the particular triangles.
Here, as MP is the common altitude to the triangles MNO, MOP and MPQ.
Hence, the ratio of the bases of the triangles,

N O : P O : P Q = 6 : 2 : 8 = 3 : 1 : 4

Therefore, the correct option is (1).

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