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If tan X = (x)/(y) , where x and y are ...

If tan ` X = (x)/(y)` , where x and y are whole numbers, then sin X is :

A

`(y)/( sqrt(y^(2) - x^(2)))`

B

` (x)/( sqrt(x^(2) + y^(2)))`

C

`(y)/( sqrt(x^(2) + y^(2)))`

D

` (x)/( sqrt(y^(2) - x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If x^(y)=y^(x) where x and y are distinct natural numbers , then find x+y .

    A
    6
    B
    8
    C
    4
    D
    2

  • Consider the inequality 40x+20y le 120, where x and y are whole number . Then,

    A
    (0,0),(0,5),(1,1),(2,2),(3,0) are some solutions of given inequality
    B
    The graphical representation of given inequality is
    C
    Both (1) and (2)
    D
    None of these

  • If sqrt((x-1)(y+2))=7 , x and y being positive whole numbers then the values of x and y are respectively

    A
    8,5
    B
    15,12
    C
    22,19
    D
    6,8

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