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  • Question
  • If x = a cos?+ b sin? and y = b cos?- a sin?, then x2 + y2 is equal to


  • Options
  • A. ab
  • B. a2+b2
  • C. a2-b2
  • D. 1

  • Correct Answer
  • a2+b2 

  • Tags: Bank Exams

    Simplification problems


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    • 1. The Simplified form of (b3x2a4z3)*(b4x3a3z2)/(a2b4z3) is

    • Options
    • A. b2x4a6z
    • B. b3x2a4z3
    • C. b3x5a5z2
    • D. bazx
    • Discuss
    • 2. Reflection of the point (-3,6) in the x-axis is

    • Options
    • A. (3,6)
    • B. (6,-3)
    • C. (-3,-6)
    • D. (-6,3)
    • Discuss
    • 3. A bag has Rs 30.8 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio of 6:3:2. What is the number of 50 paise coins?

    • Options
    • A. 8
    • B. 24
    • C. 12
    • D. 4
    • Discuss
    • 4. ABCD is a parallelogram. Co-ordinates of A, B and C are (5,0), (-2,3) and (-1,4) respectively. What will be the equation of line AD?

    • Options
    • A. y = 2x - 5
    • B. y = x + 5
    • C. y = 2x + 5
    • D. y = x - 5
    • Discuss
    • 5. [sinA/(1 + cosA)] + [(1 + cosA)/sinA] is equal to

    • Options
    • A. 2secA
    • B. 2cosecA
    • C. 2tanA
    • D. 2cotA
    • Discuss
    • 6. If x = ?2+1, then the value of x4-1/x4

    • Options
    • A. 8?2
    • B. 18?2
    • C. 6?2
    • D. 24?2
    • Discuss
    • 7. If 9x2 + 16y2 = 60 and 3x + 4y = 6, then the value of xy is

    • Options
    • A. -1
    • B. 1
    • C. -2
    • D. 2
    • Discuss
    • 8. If cos?1-sin?+cos?1+sin? = 4 , then the value of ? (0°

    • Options
    • A. 60°
    • B. 45°
    • C. 30°
    • D. 35°
    • Discuss
    • 9. If 3.352 - (9.759 - x ) - 19.64 = 7.052, then what is the value of x?

    • Options
    • A. -6.181
    • B. 13.581
    • C. 33.099
    • D. 39.803
    • Discuss
    • 10. Square of (7 - 4x) is

    • Options
    • A. 16x2 - 28x + 49
    • B. 49 - 28x - 16x2
    • C. 49 - 56x - 16x2
    • D. 16x2 - 56x + 49
    • Discuss


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