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- Question
In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ?APB is
Options- A. 30°
- B. 45°
- C. 60°
- D. 90°
- Correct Answer
- 60°
- 1. If x + 1x = 3, then x18 + x12 + x6 + 1 value is
Options- A. 0
- B. 1
- C. 2
- D. 3 Discuss
- 2. If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is
Options- A. 5154
- B. 5267
- C. 5364
- D. 5456 Discuss
- 3. If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to
Options- A. 1
- B. 2
- C. 4
- D. 0 Discuss
- 4. A complete factorisation of x4 + 64 is
Options- A. (x2 + 8)2
- B. (x2 + 8)(x2 - 8)
- C. (x2 - 4x + 8)(x2 -4x - 8)
- D. (x2 + 4x + 8)(x2 - 4x + 8) Discuss
- 5. If x + 1x = c + 1c , then the value of x =
Options- A. C, 1/C
- B. C, C2
- C. C, 2C
- D. 0,1 Discuss
- 6. If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is
Options- A. 6/7
- B. 7/6
- C. 5/6
- D. 6/5 Discuss
- 7. If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ? a2 )
Options- A. b2-a2+2c2b2+a2
- B. b2+a2-2c2b2-a2
- C. b2-a2-2c2b2+a2
- D. b2-a2b2+a2+2c2 Discuss
- 8. (1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to
Options- A. 0
- B. 1
- C. 2
- D. 3 Discuss
- 9. If tan4? + tan2? = 1 then the value of cos4? + cos2? is
Options- A. 2
- B. 0
- C. 1
- D. -1 Discuss
- 10. The value of 8(sin6? + cos6?) - 12(sin4? + cos4?) is equal to
Options- A. 20
- B. -20
- C. 4
- D. -4 Discuss
Simplification problems
Search Results
Correct Answer: 0
Correct Answer: 5364
Correct Answer: 0
Correct Answer: (x2 + 4x + 8)(x2 - 4x + 8)
Correct Answer: C, 1/C
Correct Answer: 7/6
Correct Answer: b2+a2-2c2b2-a2
Correct Answer: 2
Correct Answer: 1
Correct Answer: -4
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