Question

if P be the length of the normal from the origin on the
st. line at x +2by = 2p. What is the value of b​

Answer 1

Answer:

The formula for the perpendicular distance from (x1,y1)

to the line whose equation is Ax+By+C=0 is

d = 

The line has the equation

 +  = 1

[Don't get capital A and B confused with little letters a and b]

Clear of fractions by multiplying by LCD = ab:

bx + ay = ab

Get 0 on the right

bx + ay - ab = 0

For (x1,y1) = (0,0)

Substitute in

d = 

with d = p, A = b, B = a, C = -ab, (x1,y1) = (0,0)

p = 

p = 

Square both sides

p² = 

Take the reciprocal of both sides:

 = 

Make two fractions on the right:

 = 

 = 

 = 

please mark as a brainalist answer