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  • Question
  • If tan2? + cot2? = 2 , then what is the value of 2sec ? cosec ? ?


  • Options
  • A. 0
  • B. 1
  • C. 2
  • D. 4

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. If tan ? + cot ? = x, then what is the value of tan4? + cot4? ?

    • Options
    • A. (x3 ? 3)2 + 2
    • B. (x4 ? 2x) + 4
    • C. x2 (x2 ? 4) + 2
    • D. x
    • Discuss
    • 2. P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

    • Options
    • A. 1.5
    • B. 2
    • C. 2.5
    • D. 3
    • Discuss
    • 3. In a triangle PQR, ?Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

    • Options
    • A. 5
    • B. 6
    • C. 6.5
    • D. 6?2
    • Discuss
    • 4. If x = 4aba+b , then what is the value of x+2ax-2a+x+2bx-2b ?

    • Options
    • A. 0
    • B. 2
    • C. 4
    • D. 1
    • Discuss
    • 5. If 5+x+5-x5+x-5-x = 3 ,then what is the value of x ?

    • Options
    • A. 5/2
    • B. 25/3
    • C. 4
    • D. 3
    • Discuss
    • 6. The value of (0.3)2/100= ?

    • Options
    • A. 0.09
    • B. 0.0009
    • C. 0.009
    • D. 0.9
    • Discuss
    • 7. If x/y = 4/9, then what is the value of (7x2 ? 19xy + 11y2)/y2 ?

    • Options
    • A. 59/81
    • B. 100/27
    • C. 319/81
    • D. 913/81
    • Discuss
    • 8. If x ? 3 + [1/(x ? 3)] = 4, what is the value of [(x ? 3)3+ [1/(x ? 3)3] ?

    • Options
    • A. 14
    • B. 18
    • C. 52
    • D. 76
    • Discuss
    • 9. If x2+ y2+ z2= xy + yz + zx , then what is the value of (7x + 3y ? 5z)/5x?

    • Options
    • A. 0
    • B. 1
    • C. 5
    • D. 33/5
    • Discuss
    • 10. If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

    • Options
    • A. 125?3
    • B. 147?3
    • C. 156?3
    • D. 169?3
    • Discuss


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