Mathematics-Trigonometry [NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension]: Questions 1 - 4 of 51

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Question 1

Trigonometry
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Question

MCQ▾

If ABCD is a quadrilateral whose diagonals AC and BD intersects at O, then which of the given option is correct?

the image display is Quadrilateral ABCD

The Image Display is Quadrilateral ABCD

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Choices

Choice (4)Response
a.(AB + BC + CD + DA) < (AC + BD)
b.(AB + BC + CD + DA) = 2 (AC + BD)
c.(AB + BC + CD + DA) > (AC + BD)
d.(AB + BC + CD + DA) < 2 (AC + BD)

Question 2

Trigonometry
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Question

MCQ▾

If and , then is equal to

Choices

Choice (4)Response
a.
b.
c.
d.None of the above

Question 3

Trigonometry
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Question

MCQ▾

There is a small Island between the banks of a 100 m wide river. There is tall tree on the Island. Points P and Q are directly opposite to each other on the two banks and in line with the tree. If the angles of elevation of the top of the tree at P and Q are 30° and 45°. Then, the height of tree is

Choices

Choice (4)Response
a.50 m
b.50 ( -1) m
c.50 ( + 1) m
d.Question does not provide sufficient data or is vague

Question 4

Trigonometry
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Question

MCQ▾

Two posts are K m apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height (in m) of the shorter post is

Choices

Choice (4)Response
a.
b.
c.2K
d.3K