Concept of the Day

The "Natural Rights"

"Men are born and remain free and equal in rights."
  • 🛡️ The Core: Rights given by birth, not by a King.
  • ⚖️ Examples: Liberty, Property, Security, and Resistance to Oppression.
  • 🌍 Legacy: Born in the French Revolution (1789); now the backbone of India's Constitution.
Quick Prep: These are Inalienable—they cannot be taken away.
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ENGINEERING MECHANICS: GEOMETRICAL ANALYSIS


Assignment No. : 01

1.  Solve the following equation for the two roots of x:   x2 — 16 = 0
A. x = 2i,   –2i
B. x = 4i,   –4i
C. x = 4,   –4
D. x = 2,   –2
2. 
Using the basic trigonomic functions, determine the length of side AB of the right triangle.
A. h = 7.07
B. h = 10
C. h = 5
D. h = 14.14
3. 
Determine the angle :
A. = 30°
B. = 40°
C. = 60°
D. = 50°
4.  Solve the following equation for x, y, and z:
x – y + z = –1   –x + y + z = –1   x + 2y – 2z = 5
A. x = 1,      y = 1,      z = –1
B. x = 5/3,      y = 7/6,      z = –1/2
C. x = –2/3,      y = –2/3,      z = –1
D. x = –1,      y = 1,      z = 1
5. 
Using the basic trigonomic functions, determine the length of side AB of the right triangle.
A. h = 5.77
B. h = 11.55
C. h = 5
D. h = 8.66

6. 
Determine the angles and and the length of side AB of the triangle. Note that there are two possible answers to this question and we have provided only one of them as an answer.
A. = 46.7°,  = 93.3° d = 9.22
B. = 50.0°,  = 90.0° d = 9.14
C. = 40.0°,  = 100.0° d = 9.22
D. = 48.6°,  = 91.4°, d = 9.33
7. 
Determine the length of side AB if right angle ABC is similar to right angle A'B'C':
A. AB = 5.42
B. AB = 3
C. AB = 5
D. AB = 4
8. 
Determine the angle :
A. = 30°
B. = 40°
C. = 60°
D. = 50°
9.  Solve the following equation for the two roots of x:   — x2 + 5x = — 6
A. x = 2,   3
B. x = –1,   –5
C. x = –1,   6
D. x = –0.742,   6.74
10. 
Using the basic trigonomic functions, determine the length of side AB of the right triangle.
A. h = 10
B. h = 7.07
C. h = 14.14
D. h = 5