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Home Aptitude Simplification Comments

  • Question
  • A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?


  • Options
  • A. (6/11, 9/11)
  • B. (6/7, 9/7)
  • C. (6/11, -9/11)
  • D. (-6/7, 9/7)

  • Correct Answer
  • (6/11, 9/11) 

  • Tags: AIEEE, Bank Exams, CAT

    Simplification problems


    Search Results


    • 1. Find co-ordinates of the mid point of the segment joining points C (3,-5) and D (-7,3).

    • Options
    • A. (-2, -1)
    • B. (5, -4)
    • C. (-5, 4)
    • D. (2, 1)
    • Discuss
    • 2. If sinC + sinD =X, then the value of X is?

    • Options
    • A. 2cos[(C+D)/2]sin[(C-D)/2]
    • B. 2sin[(C+D)/2]cos[(C-D)/2]
    • C. 2cos[(C+D)/2]cos[(C-D)/2]
    • D. 2sin[(C+D)/2]sin[(D-C)/2]
    • Discuss
    • 3. Expanded and simplification of (x + 3)(x - 1) will be equal to

    • Options
    • A. x2+ 2x - 3
    • B. x2 + 3x + 2
    • C. x2 - 2x + 3
    • D. x2 + 3x - 2
    • Discuss
    • 4. Given: 6x + 2(6-x) > 2x -2 < 5x/2 - 3x/4; then x can take which of the following values?

    • Options
    • A. 9
    • B. -8
    • C. 5
    • D. -9
    • Discuss
    • 5. What is the value of (4a2 - 9b2 )/(2a + 3b) is

    • Options
    • A. 2a - 3b
    • B. 2a + 3b
    • C. 2a
    • D. 3b
    • Discuss
    • 6. If 2x + 3(5-2x) > 2 - 3x < 2x - x/3, then x can take which of the following values?

    • Options
    • A. 0
    • B. -2
    • C. -4
    • D. 2
    • Discuss
    • 7. If x + y = 12 and xy = 32, then what is the value of x2 + y2 ?

    • Options
    • A. 24
    • B. 144
    • C. 128
    • D. 80
    • Discuss
    • 8. If cosC + cosD = x, then value of x is

    • Options
    • A. 2cos[(C+D)/2]cos[(C-D)/2]
    • B. 2sin[(C+D)/2]sin[(C-D)/2]
    • C. 2cos[(C+D)/2]sin[(C-D)/2]
    • D. 2sin[(C+D)/2]cos[(C-D)/2]
    • Discuss
    • 9. What is the value of cosec -150°?

    • Options
    • A. -2
    • B. 2/?3
    • C. 2
    • D. -2/?3
    • Discuss
    • 10. If tanA - cotA = x, then value of x is?

    • Options
    • A. (1 + 2cos2A)/(sinA cosA)
    • B. (sinA cosA)/(1 - 2cos2A)
    • C. (sinA cosA)/(1 + 2cos2A)
    • D. (1 - 2cos2A)/(sinA cosA)
    • Discuss


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