In the equation , the center is 

Determine the equation of parabola with the vertex ( 5 , 1 ) and focus ( 5 , 3 ).

Which of the following is a general form of a Conic?

There are 9 males and 7 females in a group. The number of ways to choose 2 male and 2 female for talk show is

Four-digit odd numbers are made using 2, 3, 4, 5, 6 and 7. The number of ways in which repetition digit is not allowed is

The number of ways to choose 3 books from 8 different books is

The number of possible words that can be made using the letters of the word ‘BEAUTY’ is

The vector equation of the line through (3, 1, 2) and with direction vector   is 

If   is perpendicular to   , then t =

If and , then is