Sketch roughly the line satisfying the following conditions and write their equations: Inclination `theta=150^0` and distance from origin `=3`

The differential equation representing all line at a distance p from the origin is-

Find the equation of Hyperbola satisfying the following conditions: Vertices (0,pm3) foci (0,pm5)

Find the equation of the parabola satisfying the following conditions : Vertex = (0,0) ,Focus = (0,6)

Find the equation of Hyperbola satisfying the following conditions: Vertices (0,pm5) , foci (0,pm8)

Find the equation of Hyperbola satisfying the following conditions: Vertices (pm2,0) , foci (pm3,0)

Find the equation of line whose inclination is 150^(@) and which passes through the point (3,-5)

Find the equation of Hyperbola satisfying the following conditions: Vertices (pm7,0),e=(4)/(3) .

Find the equation of Hyperbola satisfying the following conditions: Foci (pm3sqrt(5),0) the latus rectum is of length 8.

Which one of the following differential equations represents the family of straight lines which are at unit distance from the origin ?

Find the equation of the family of lines satisfying the following conditions : (i) passing through the origin (ii) parallel to the line 3x+4y+5=0 (iii) having slope 5 (iv) having y -intercept 4 .