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  • Question
  • If x=aCos?Cos?, y = aCos?Sin? and z= aSin?, then the value of x2+ y2 + z2 is


  • Options
  • A. 2a2
  • B. 0
  • C. 4a2
  • D. a2

  • Correct Answer
  • a2 

  • Tags: Bank Exams

    Simplification problems


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    • 1. The value of sec217°-1tan273°-sin17°sec73°

    • Options
    • A. 1
    • B. 0
    • C. -1
    • D. 2
    • Discuss
    • 2. If xa+b+1=xa-b+a-ba+b , then x is equal to

    • Options
    • A. 2a-b
    • B. a+b
    • C. a-b
    • D. 2a+b
    • Discuss
    • 3. If a-b=1 and a3-b3 = 61 , then the value of ab will be

    • Options
    • A. -20
    • B. 20
    • C. 30
    • D. 60
    • Discuss
    • 4. If p = 99, then the value of p(p2+3p+3) will be

    • Options
    • A. 999999
    • B. 1000000
    • C. 1000001
    • D. 999998
    • Discuss
    • 5. If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be

    • Options
    • A. 10%
    • B. 8%
    • C. 12%
    • D. 6%
    • Discuss
    • 6. A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is

    • Options
    • A. 25.98
    • B. 26.58
    • C. 27.58
    • D. 27.98
    • Discuss
    • 7. A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is

    • Options
    • A. 4250
    • B. 4000
    • C. 8005
    • D. 8000
    • Discuss
    • 8. If x2+5x+6 = 0 , then the value of 2xx2-7x+6 is

    • Options
    • A. 1/6
    • B. 1/3
    • C. -1/6
    • D. -1/3
    • Discuss
    • 9. If a+b=5 and ab=3, then the value of (a2+b2) is

    • Options
    • A. 17
    • B. 18
    • C. 19
    • D. 20
    • Discuss
    • 10. A 8 cm long perpendicular is drawn from the centre of a circle to a 12 cm long chord. The diameter of the circle is

    • Options
    • A. 10 cm
    • B. 12 cm
    • C. 16 cm
    • D. 20 cm
    • Discuss


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