**Q. 1.** Find the distance of the point A(2, 3) from the line 2x - 3y + 9 = 0 measure along a line making an anagle of 45^{0} with X axis.

**Q. 2.** Find the angle between the lines Find the equation of the bisector of whose vertices are A(-2, 4), B(5,5) and C(4, -2).

**Q. 4.** Find the coordinates of the orthocentre of the triangle formed by the lines x+y-6=0 and 3y = 5x + 2.

**Q. 4.** Find the equation of the straight line passing through (4,-2) and making an angle of 600 with the negative direction of Y axis.

**Q. 6.** Reduce in to normal form and hence find the value of

**Q. 7.** Find the image of the point (1, -2) on the line y = 2x + 1.

**Q. 8.** A ray of light is sent along the line x - 2y - 3 = 0. Upon reaching the line 3x - 2y - 5 = 0 the ray is reflected from it. Find the equation of the line containing the reflected ray.

**Q. 9.**Find the equation of the line mid parallel to the lines 9x + 12y - 15 = 0 and 3x + 4y - 15 = 0

**Q. 10.** One side of a recatngle lie along the line 4x + 7y +5 = 0. Two of its vertices are (-3,1) and (1,1). Find the equation of the diagonals of the rectangle.