JEE Main 2002 — Coordinate Geometry

Locus of mid point of the portion between the axes of $x \cos \alpha+y \sin \alpha=p$ where $p$ is constant is

The sides of a triangle are 3x + 4y, 4x+37 and 5x + 57 where x, y > 0 then the triangle is

If the chord $y=m x+1$ of the circle $x^2+y^2=1$ subtends an angle of measure $45^0$ at the major segment of the circle then value of $m$ is

A triangle with vertices (4, 0), (-1, -1), (3, 5) is