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  • Solve! A point is such that it lies in X-Y Plane such that sum of its coordinates is 5 and y-coordinate i is one more than x-coordinate, then co-ordinates of point i .

A point is such that it lies in X-Y Plane such that sum of its coordinates is 5 and y-coordinate i  is one more than x-coordinate, then co-ordinates of point i .

  • Option 1)

    (3,2,0)

  • Option 2)

    (1,4,0)

  • Option 3)

    (2,3,0)

  • Option 4)

    (0,1,4)

 

Answers (1)

best_answer

As we have learned

Co-ordinate axes -

There are infinite points in plane we want to identify them by using three mutually perpendicular lines known as co-ordinate axes OX,OY \, and \, OZ

- wherein

 

    let point is (\alpha,\beta,\gamma). Since it lies on X-Y plane so \gamma=0,

\therefore Point is (\alpha, \beta, 0)

Also , \alpha + \beta + 0= 5

\alpha + \beta = 5 \rightarrow (1)

\beta = \alpha + 1\rightarrow (2)

From (1) and (2)

\alpha = 2, \beta=3

\therefore The point is (2,3,0)

\therefore Option C


Option 1)

(3,2,0)

Option 2)

(1,4,0)

Option 3)

(2,3,0)

Option 4)

(0,1,4)

Posted by

Himanshu

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