# x2+y2+kx+(1-k)y+5=0 represents a circle with radius less than or equal to 5.Then number of integral values of ‘k’ are

1.  14

2.  15

3.  10

4.  13

4

10

Explanation :
No Explanation available for this question

# If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10π,then the equation of the circle is

1.  x2+y2-2x+2y-23=0

2.  x2+y2-2x-2y-23=0

3.  x2+y2+2x+2y-23=0

4.  x2+y2+2x-2y-23=0

4

x2+y2-2x+2y-23=0

Explanation :
No Explanation available for this question

# If the tangents from (g,f) to the circle x2+y2+2gx+2fy+c=0 are perpendicular then g2+f2=

1.  c

2.  2c

3.  -c

4.  -2c

4

-c

Explanation :
No Explanation available for this question

# Two circles of radii 3,4 intersect orthogonally then the length of the common chord is

1.  12/5

2.  24/25

3.  24/5

4.  25/24

4

24/5

Explanation :
No Explanation available for this question

# If the letters of the word MISSISSIPPI are arranged at random. The probability that all the 4Ss appear consecutively is:

1.  ∠8/∠11

2.  ∠4/∠11

3.  ∠8∠4/∠11

4.  ∠6/∠11

4

∠8∠4/∠11

Explanation :
No Explanation available for this question

# Dialing a telephone number to his daughter an old man forgets the last three digits and dialed at random remember in only that they are same. The probability that the number dialed is correct is

1.  1/720

2.  1/10

3.  1/103

4.  1/135

4

1/10

Explanation :
No Explanation available for this question

# Out of the first 25 natural numbers 2 are chosen at random. The probability for one of the numbers is to be a multiple of 3 and the other to be a multiple of 5

1.  13/100

2.  1/5

3.  2/15

4.  1/15

4

13/100

Explanation :
No Explanation available for this question

# A letter is taken out at random from the word ASSISTANT and another from STATISTICS. The probability that they are the same letters is

1.  13/90

2.  17/90

3.  19/90

4.  15/90

4

19/90

Explanation :
No Explanation available for this question

# From 101 to 1000 natural numbers a number is taken at random. The probability that the number is divisible by 17 is:

1.  58/900

2.  58/100

3.  53/900

4.  53/1000

4

53/900

Explanation :
No Explanation available for this question

1.  3/5

2.  1/5

3.  2/5

4.  4/5

4