Question

the length of perpendicular PM and PN drawn from a point P, on x- axis and y-axis are 3 and 2 units respectively. Find the coodinates of point P,M and N

plz give correct answers
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Answer 1

Answer:

ANSWER

Let the point P be (h,k)

Draw PL

′

parallel MO and PL parallel NO

In △PLMsinω=

PL

PM

sinω=

k

PM

⇒PM=ksinω......(i)

In △PL

′

Nsinω=

PL

′

PN

sinω=

h

PN

⇒PN=hsinω......(ii)

Given PM−PN=2c

using (i) and (ii)

ksinω−hsinω=2c

k−h=

sinω

2c

k−h=2ccscω

Replacing h by x and y by k

y−x=2ccscω