In a regular hexagon, 3 vertices out of 6 are randomly chosen. Th

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

If PA = 12, PB = 13 and PA  B = 14, then the value of PBA wll be

  • 1

  • 0

  • 12

  • 13


2.

Six boys and six girls sit in a row. The probability that the boys and girls sit alternately will be

  • 1462

  • 1924

  • 12

  • None of these


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3.

In a regular hexagon, 3 vertices out of 6 are randomly chosen. The probability that the triangle formed out of these three vertices will be an equilateral triangle, is

  • 12

  • 15

  • 110

  • 120


C.

110

Total number of tnangles formed by vertices of regular hexagon      = C36 = 20

Only two equilateral triangle are formed, i.e., ABF, CDE

 Required probabiity = 220 = 110


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4.

If two lines of regression are 3x + 12y = 19 and 9x + 3y = 46, then the value of rxy will be

  • 0.289

  • - 0.289

  • 0.209

  • None of these


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5.

The brain of any computer system is

  • ALU

  • memory

  • CPU

  • control unit


6.

Which of the following is not an output device ?

  • Projector

  • Speaker

  • Printer

  • Mouse


7.

The full form of IP is

  • Interface Program

  • Internet Protocol

  • Internet Program

  • Interface Protocol


8.

If x = 913 919 9127 ... y = 413 4- 19 4127 ...  and z = r = 11 + i- r, then arg (x + yz) will be

  • - tan-123

  • - tan-123

  • π - tan-123

  • 0


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9.

If a, b, c are in arithmetic progression, then abc, 1c, 2b will be in

  • arithmetic proression

  • geometric progression

  • harmonic progresssion

  • None of the above


10.

If G is the geometric mean of x and y, then 1G2 - x2 + 1G2 - y2 will be

  • - G2

  • - 1G2

  • 1G2

  • G2


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