# Entries of a 2x2 matrix are choosen from the set {0,1}.The probability that the determinant has zero value is

1.  1/4

2.  1/3

3.  1/6

4.  5/8

4

5/8

Explanation :
No Explanation available for this question

# A random variable has the following distribution. X=xi

1.  1/10 ,3/5

2.  1/10,3/10

3.  3/10, 1/10

4.  1/10

4

1/10,3/10

Explanation :
No Explanation available for this question

# A man takes a step forward with probability 0.4 and a step backward with probability 0.6.Then after 11 steps,the probability that he is one step away from the starting point is

1.  362(0.24)5

2.  462(0.24)5

3.  462(0.25)5

4.  362(0.24)4

4

462(0.24)5

Explanation :
No Explanation available for this question

# The number of common tangents to the two circles x2+y2 =16,x2+y2 -4x-6y-12=0

1.  1

2.  2

3.  1/2

4.  3

4

1/2

Explanation :
No Explanation available for this question

# The equation of the sphere circumscribing the tetrahedron whose faces are x=0,y=0,z=0 and

1.  x2+y2+z2-3x-4y-7z+14=0

2.  x2+y2+z2-3x-4y-7z=0

3.  x2+y2+z2+3x+4y+7z=0

4.  x2+y2+z2-3x-4y-7z=0

4

x2+y2+z2-3x-4y-7z=0

Explanation :
No Explanation available for this question

# The length of the chord of the circle x2+y2+4x-7y+12=0 along the y-axis is

1.  1

2.  2

3.  1/2

4.  3

4

1

Explanation :
No Explanation available for this question

# Assertion(A):The locus of the point intersection of perpendicular tangents to y2=4ax is itsdirectrix Reason(R): If θ is the angle

1.  A and R true and R is the correct explanation of A

2.  A and R true and R is not the correct explanation of A

3.  A is true,R is false

4.  R is true,A is false

4

A and R true and R is the correct explanation of A

Explanation :
No Explanation available for this question

# The locus of the feet of the perpendicular from centre of the ellipse to any tangent is

1.  a2x2+b2y2=(x2+y2)2

2.  a2x2+b2y2=(x2+y2)

3.  a2x2+b2y2=(x2 - y2)

4.  a2x2+b2y2=(x2 - y2)2

4

a2x2+b2y2=(x2+y2)2

Explanation :
No Explanation available for this question

# The latusrectum of a hyperbola is 9/2 and eccentricity is 5/4.Its standard equation in standard form is

1.  9x2-16y2=144

2.  9x2-16y2=400

3.  16x2-9y2=144

4.  25x2-16y2=400

4

9x2-16y2=144

Explanation :
No Explanation available for this question

1.  √3:√2

2.  2:1

3.  √2:1

4.  1:2

4