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  • Question

  • 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

  • Correct Answer
  • 7/6 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. 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°
      • Discuss
    • 2. If x + 1x = 3, then x18 + x12 + x6 + 1 value is

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
      • Discuss
    • 3. 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
    • 4. If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 0
      • Discuss
    • 5. 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
    • 6. 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
    • 7. (1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
      • Discuss
    • 8. If tan4? + tan2? = 1 then the value of cos4? + cos2? is

    • Options
    • A. 2
    • B. 0
    • C. 1
    • D. -1
      • Discuss
    • 9. The value of 8(sin6? + cos6?) - 12(sin4? + cos4?) is equal to

    • Options
    • A. 20
    • B. -20
    • C. 4
    • D. -4
      • Discuss
    • 10. An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking ?3 = 1.732) is

    • Options
    • A. 230.63 m/sec
    • B. 230.93 m/sec
    • C. 235.85 m/sec
    • D. 236.25 m/sec
      • Discuss

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