# On the portion of the straight line #x+2y=4# intercepted between the axes , a square is constructed on the side of the line away from the origin. The the point of intersection of its diagonals has co-ordinates is?

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A) (2,3)

B)(3,2)

C)(3,3)

D)(2,2)

A) (2,3)

B)(3,2)

C)(3,3)

D)(2,2)

##### 2 Answers

#### Explanation:

Given equation of line :

when

when

length of

Let

As

Similarly,

let

recall that the two diagonals of a square bisect each other,

C)

#### Explanation:

Solution 2:

Let

slope of

Solutin 3:

recall that the formula for angle between two slopes is given by :

let slope of