Given: Point (0,0) and line 7x + 24y = 50

To find: The length of the perpendicular from the origin to the line 7x + 24y = 50

Formula used:

We know that the length of the perpendicular from P (m,n) to the line ax + by + c = 0 is given by,

D

The given equation of the line is 7x + 24y - 50=0

Here m= 0 and n = 0 , a = 7 , b = 24 , c = -50

D

D

D

The length of perpendicular from the origin to the line 7x + 24y = 50 is units

(ii) Given: Point (0,0) and line 4x + 3y = 9

To find: The length of perpendicular from the origin to the line 4x + 3y = 9

Formula used:

We know that the length of perpendicular from P (m,n) to the line ax + by + c = 0 is given by,

D

The given equation of the line is 4x + 3y - 9=0

Here m= 0 and n = 0 , a = 4 , b = 3 , c = -9

D

D

D

The length of perpendicular from the origin to the line 4x + 3y = 9 is units

(iii) Given: Point (0,0) and line x = 4

To find: The length of perpendicular from the origin to the line x = 4

Formula used:

We know that the length of perpendicular from (m,n) to the line ax + by + c = 0 is given by,

D

The given equation of the line is x - 4=0

Here m= 0 and n = 0 , a = 1 , b = 0 , c = -4

D

D

D

The length of perpendicular from the origin to the line x = 4 is units