Obtain the perpendicular form of the equation of st.lines from the given values of p and `alpha`
`(i) p=5`, `alpha=30^(@)`
`(ii) p=1`, `alpha=90^(@)`
`(iii)p=4`, `alpha=15^(@)`

Find the equation of the line through the points (p sec alpha,0) and (0,p cos ec alpha)

Find the equation of a line for which: p=5,alpha=60^(0)

Find the equation of the line for which (i)p=3 and alpha=45^(@) (ii) p=5 and alpha=135^(@) (iii) p=8 alpha=150^(@) (iv) p=3 and alpha=225^(@) (v) p=2 and alpha=300^(@) (vi) p=4 and alpha=180^(@)

Find the length of perpendicular from the point (a cos alpha, a sin alpha) to the line x cos alpha+y sin alpha=p .

The foot of the perpendicular from (0,0) to the line x cos alpha+y sin alpha=p is

If p&q are lengths of perpendicular from the origin x sin alpha+y cos alpha=a sin alpha cos alpha and x cos alpha-y sin alpha=a cos2 alpha, then 4p^(2)+q^(2)

If P_(1) and p_(2) are the lenghts of the perpendiculars drawn from the origin to the two lines x sec alpha +y . Cosec alpha =2a and x. cos alpha +y. sin alpha =a. cos 2 alpha , show that P_(1)^(2)+P_(2)^(2) is constant for all values of alpha .

If we reduce 3x+3y+7=0 to the form x cos alpha+y sin alpha=p, then find the value of p

Find the equation of the line where the perpendicular distance p of the line from origin and the angle alpha made by the perpendicular with x-axis are given as: p=4, alpha = 15^0