Teachoo MCQ Test

Case Based MCQ Quiz

Preparing for CBSE

Chapter 2 Class 12 Inverse Trigonometric Functions | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10
The Government of
The Government of
The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. " A " is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely \(\mathrm{C}, \mathrm{D}\) and E . " C " is at the height of 10 metres from the ground level. For the viewer A , the angle of elevation of " D " is double the angle of elevation of " C " The angle of elevation of " E " is triple the angle of elevation of " C " for the same viewer. Look at the figure given and based on the above information and the following:
Measure of \(\angle C A B=\)
Select one option. Answers are shown after the test.
Question 2 of 10
The Government of
The Government of
The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. " A " is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely \(\mathrm{C}, \mathrm{D}\) and E . " C " is at the height of 10 metres from the ground level. For the viewer A , the angle of elevation of " D " is double the angle of elevation of " C " The angle of elevation of " E " is triple the angle of elevation of " C " for the same viewer. Look at the figure given and based on the above information and the following:
Measure of \(\angle \mathrm{DAB}\)
Select one option. Answers are shown after the test.
Question 3 of 10
The Government of
The Government of
The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. " A " is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely \(\mathrm{C}, \mathrm{D}\) and E . " C " is at the height of 10 metres from the ground level. For the viewer A , the angle of elevation of " D " is double the angle of elevation of " C " The angle of elevation of " E " is triple the angle of elevation of " C " for the same viewer. Look at the figure given and based on the above information and the following:
Measure of \(\angle \mathrm{EAB}\)
Select one option. Answers are shown after the test.
Question 4 of 10
The Government of
The Government of
The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. " A " is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely \(\mathrm{C}, \mathrm{D}\) and E . " C " is at the height of 10 metres from the ground level. For the viewer A , the angle of elevation of " D " is double the angle of elevation of " C " The angle of elevation of " E " is triple the angle of elevation of " C " for the same viewer. Look at the figure given and based on the above information and the following:
\(A^{\prime}\) Is another viewer standing on the same line of observation across the road. If the width of the road is 5 meters, then the difference between \(\angle C A B\) and \(\angle C A^{\prime} B\) Is
Select one option. Answers are shown after the test.
Question 5 of 10
The Government of
The Government of
The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. " A " is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely \(\mathrm{C}, \mathrm{D}\) and E . " C " is at the height of 10 metres from the ground level. For the viewer A , the angle of elevation of " D " is double the angle of elevation of " C " The angle of elevation of " E " is triple the angle of elevation of " C " for the same viewer. Look at the figure given and based on the above information and the following:
Domain and Range of \(\tan ^{-1} x=\)
Select one option. Answers are shown after the test.
Question 6 of 10
Two men on
Two men on
Two men on either side of a temple of 30 meters high observe its top at the angles of elevation \(\alpha\) and \(\beta\) respectively. (as shown in the figure above). The distance between the two men is \(40 \sqrt{3}\) meters and the distance between the first person A and the temple is \(30 \sqrt{3}\) meters.
Based on the above information answer the following:
$$ \angle \mathrm{CAB}=\alpha= $$
Select one option. Answers are shown after the test.
Question 7 of 10
Two men on
Two men on
Two men on either side of a temple of 30 meters high observe its top at the angles of elevation \(\alpha\) and \(\beta\) respectively. (as shown in the figure above). The distance between the two men is \(40 \sqrt{3}\) meters and the distance between the first person A and the temple is \(30 \sqrt{3}\) meters.
Based on the above information answer the following:
$$ \angle \mathrm{CAB}=\alpha= $$
Select one option. Answers are shown after the test.
Question 8 of 10
Two men on
Two men on
Two men on either side of a temple of 30 meters high observe its top at the angles of elevation \(\alpha\) and \(\beta\) respectively. (as shown in the figure above). The distance between the two men is \(40 \sqrt{3}\) meters and the distance between the first person A and the temple is \(30 \sqrt{3}\) meters.
Based on the above information answer the following:
$$ \angle \mathrm{BCA}=\beta= $$
Select one option. Answers are shown after the test.
Question 9 of 10
Two men on
Two men on
Two men on either side of a temple of 30 meters high observe its top at the angles of elevation \(\alpha\) and \(\beta\) respectively. (as shown in the figure above). The distance between the two men is \(40 \sqrt{3}\) meters and the distance between the first person A and the temple is \(30 \sqrt{3}\) meters.
Based on the above information answer the following:
$$ \angle A B C= $$
Select one option. Answers are shown after the test.
Question 10 of 10
Two men on
Two men on
Two men on either side of a temple of 30 meters high observe its top at the angles of elevation \(\alpha\) and \(\beta\) respectively. (as shown in the figure above). The distance between the two men is \(40 \sqrt{3}\) meters and the distance between the first person A and the temple is \(30 \sqrt{3}\) meters.
Based on the above information answer the following:
Domain and Range of \(\cos ^{-1} x=\)
Select one option. Answers are shown after the test.