A die is rolled twice and the sum of the numbers appearing on them is observed to be 7. What is the conditional probability that the number 2 has appered atleast once ?
The locus of the mid-points of the focal chord of the parabola y2 = 4ax is
y2 = a(x - a)
y2 = 2a(x - a)
y2 = 4a(x - a)
None of these
In an equilateral triangle, the inradius, circumradius and one of the exradii are in the ratio
2 : 3 : 5
1 : 2 : 3
1 : 3 : 7
3 : 7 : 9
Let p and q be two statements. Then, p v q is false, if
pis false and q is true
both p and q are false
both p and q are true
None of the above
If A and B be two sets such that A x B consists of 6 elements. If three elements A x B are (1, 4), (2, 6) and (3, 6), find B x A.
{(1, 4), (1, 6), (2, 4), (2, 6), (3, 4), (3, 6)}
{(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}
{(4, 4), (6, 6)}
{(4, 1), (6, 2), (6, 3)}
B.
{(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}
Since, (1, 4), (2, 6) and (3, 6) are the elements of A x B, therefore 1, 2, 3 are the elements of A and 4, 6 are the elements of B.
Also, A x B has 6 elements
Which of the following is correct?
Determinant is a square matrix
Determinant is a number associated to a matrix
Determinant is a number associated to a square matrix
All of the above