Test on Probabaility -2

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Question 1

A letter is supposed to have come either from “LONDON” or from “CLIFTON”. On the postmark only two consecutive letters “ON” are visible. The chance that it has come from “LONDON” will be

• A
• B
• C
• DNone of these

Question 2

f(x) = [sin x] + |x| is discontinuous (Here [ ] represents greatest integer function)

• Aeverywhere
• Bat x = 3π/2
• Cat x = – π/2
• Dat infinite points

Question 3

The set of all points where f(x) = sec 2x + cosec 2x is discontinuous is-

• A{nπ; n = 0 , ± 1, ± 2 ......}
• B{; n = 0, ±1, ±2 .......}
• C{; n = 0, ±1, ±2 .......}
• D{nπ/4; n = 0, ±1, ±2 .......}

Question 4

The foci of a hyperbola coincide with the foci of the ellipse + = 1. Find the equation of the hyperbola, if its eccentricity is 2.

• A– = 1
• B– = 2
• C– = 1
• DNone of these

Question 5

y = f(x) is a continuous function such that its graph passes through (a, 0) then is

• A1
• B0
• C3/2
• D2/3

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