Discussion
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- Question
What is the simplified value of cosec Acot A + tan A2 ?
Options- A. 2cos 2A
- B. 1 ? sin2 A
- C. sec2A
- D. secA tanA
- Correct Answer
- 1 ? sin2 A
- 1. What is the simplified value of (sec A + cos A)(sec A ? cos A)?
Options- A. 2 tan2A
- B. 2 sin2 A
- C. sin2 A tan2 A
- D. sin2A + tan2 A Discuss
- 2. If x = 1 ? y and x2 = 2 ? y2 , then what is the value of xy?
Options- A. 1
- B. 2
- C. -1/2
- D. -1 Discuss
- 3. If x4 + (1/x4) = 34 , then what is the value of x3 ? (1/x3) ?
Options- A. 0
- B. 6
- C. 8
- D. 14 Discuss
- 4. If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 ? 3xyz ?
Options- A. 81
- B. 361
- C. 729
- D. 6561 Discuss
- 5. If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C ? 3sin A cos B tan C ?
Options- A. 0
- B. 1
- C. 8
- D. 9 Discuss
- 6. How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?
Options- A. 3675
- B. 4018
- C. 4021
- D. 4025 Discuss
- 7. If the expression px3 ? qx2 ? 7x ? 6 is completely divisible by x2 ? x ? 6 , then what is the value of p and q respectively?
Options- A. 0, 1
- B. 1, 0
- C. 2, 1
- D. 1, 2 Discuss
- 8. If the expression px3 ? 2x2 ? qx + 18 is completely divisible by (x2 ? 9) , then what is the ratio between p and q respectively?
Options- A. 1:9
- B. 1:3
- C. 3:1
- D. 9:1 Discuss
- 9. If (x/y)a-4 = (y/x)2a-5 , then what is the relation between x and y?
Options- A. x > y
- B. Cannot be determined
- C. x < y
- D. x = y Discuss
- 10. If 3a ? (3/a) ? 3 = 0, then what is the value of a3 ? (1/a3) + 2 ?
Options- A. 0
- B. 2
- C. 4
- D. 6 Discuss
Simplification problems
Search Results
Correct Answer: sin2A + tan2 A
Correct Answer: -1/2
Correct Answer: 14
Correct Answer: 729
Correct Answer: 0
Correct Answer: 4025
Correct Answer: 1, 0
Correct Answer: 1:9
Correct Answer: Cannot be determined
Correct Answer: 6
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