Mathematics-Trigonometry [NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension]: Questions 25 - 31 of 51
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Question 25
Question MCQ▾
Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then, ∠ MPN is equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | 90° | |
b. | 45° | |
c. | 60° | |
d. | 135° |
Question 26
Question MCQ▾
If and , α and β lies between 0 and , then the value of tan 2α is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 27
Question MCQ▾
is equal to as shown in the adjoining figure. If , then is equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 28
Question 29
Question MCQ▾
In figure, form a linear pair. Then, the value of x is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 30
Question MCQ▾
The perimeter of an equilateral triangle whose area is is
Choices
Choice (4) | Response | |
---|---|---|
a. | 8 cm | |
b. | 12 cm | |
c. | 3 cm | |
d. | 4 cm |
Question 31
Question MCQ▾
An aero plane flying at a height of 300 m above the ground phase vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are and , respectively. The height of the lower plane from the ground (in m) is
Choices
Choice (4) | Response | |
---|---|---|
a. | 50 | |
b. | ||
c. | ||
d. | 150 |