Question

if 0, 0 shifted to a point on x-axis then 2 X + 3 Y - 6 is equal to zero reduced as Lx+ my=0 is​​

Answer 1

Answer:

Concept: Slope of general equation of line ax+by+c=0 is m=−coefficient of ycoefficient of x 

Therefore,

Slope of line 2x+3y−3=0 is =−32

and slope of line x+ky+7=0 is −k1

Now we know that two lines are perpendicular if their product of slopes is −1

⇒−32×−k1=−1

⇒k=−32

Answer 2

Answer:

(3,0)

Step-by-step explanation:

Let (X,Y) be the new coordinates of the point ( X,y)

x = X + h , Y = Y + k

X = x-a , Y = y- k

2(X +a) + 3y-6 = 0

2x+3y+2a+6 =0

2a - 6 = 0

a= 3

So the required point is (x,y) = (3,0)