Suppose that a random variable X follows Poisson distribution. If P(X = 1) = P(X = 2) then P(X = 5) is equal to :

1.  (2 / 3) e-2

2.  (3/4) e-2

3.  (4/15) e-2

4.  (7/8) e-2

View Answer  
4
Correct Answer :

(4/15) e<sup>-2</sup>


Explanation :
No Explanation available for this question

If the mean and variance of a binomial variable X are 2 and 1 respectively, then P(X ≥1) =

1.  (2 / 3)

2.  (15 / 16 )

3.  ( 7 / 8 )

4.  ( 4 / 5 )

View Answer  
4
Correct Answer :

(15 / 16 )


Explanation :
No Explanation available for this question

If a straight line L is perpendicular to the line 4x - 2y = 1 and forms & triangle of area 4 square units with the coordinate axes, then an equation of the line L is :

1.  2x + 4y + 7 = 0

2.  2x - 4y + 8 = 0

3.  2x + 4y + 8 = 0

4.  4x - 2y - 8 = 0

View Answer  
4
Correct Answer :

2x + 4y + 8 = 0


Explanation :
No Explanation available for this question

The image of the point (4, -13) with respect to the line 5x + y + 6 = 0 is

1.  (-1, -14)

2.  (3, 4)

3.  (1, 2)

4.  (-4, 13)

View Answer  
4
Correct Answer :

(-1, -14)


Explanation :
No Explanation available for this question

The image of the line x + y - 2 = 0 in the Y-axis is :

1.  x - y + 2 = 0

2.  y - x + 2 = 0

3.  x + y + 2 = 0

4.  x + y - 2 = 0

View Answer  
4
Correct Answer :

x - y + 2 = 0


Explanation :
No Explanation available for this question

A straight line which makes equal intercepts on positive X and Y axes and which is at a distance 1 unit from the origin intersects the straight line y = 2x + 3 + √2 at (x0, y0

1.  3 + √2

2.  √2 - 1

3.  1

4.  0

View Answer  
4
Correct Answer :

&#8730;2 - 1


Explanation :
No Explanation available for this question

The distance between the two lines represented by 8x2 - 24xy + 18 y2 - 6x + 9y - 5 = 0 is

1.  0

2.  3 / 4√ 13

3.  6 / √ 13

4.  7 / 2√ 13

View Answer  
4
Correct Answer :

7 / 2&#8730; 13


Explanation :
No Explanation available for this question

A pair of perpendicular lines passes through the origin and also through the points of intersection of the curve x2 + y2 = 4 with x + y = a, where a > 0. Then a is equal to

1.  2

2.  3

3.  4

4.  5

View Answer  
4
Correct Answer :

2


Explanation :
No Explanation available for this question

If 3x2 - 11 xy + 10y2 - 7x + 13y + k = 0 denotes a pair of straight lines, then  the the point of intersection of the lines is

1.  (1, 3)

2.  (3, 1)

3.  (-3, 1)

4.  (1, -3)

View Answer  
4
Correct Answer :

(3, 1)


Explanation :
No Explanation available for this question

The equation of the radical axis of the pair of circles 7x2 + 7y2 - 7x +14y + 18 = 0 and 4x2 + 4y2 -7x + 8y + 20 = 0 i

1.  x - 2y - 5 = 0

2.  2x - y + 5 = 0

3.  21x - 68 = 0

4.  23x - 68 = 0

View Answer  
4
Correct Answer :

21x - 68 = 0


Explanation :
No Explanation available for this question
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