﻿   Find the direction in which a straight line must be drawn through the point (1, 2) so that its point of intersection with the line x + y = 4 may be at a distance  from this point.  : Kaysons Education

# Find The Direction In Which A Straight Line Must Be Drawn Through The Point (1, 2) So That Its Point Of Intersection With The Line X + y = 4 May Be At A Distance  from This Point.

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## Question

### Solution

Correct option is

15o, 75o

Let the straight line makes an angle θ with the positive direction of x-axis.

∴ Equation of the line through (1, 2) in parametric form is

Since the point  lies on the line

x + y = 4

for n = 0,

= 15o, 75o.

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