*“A successful man is one who can lay a firm foundation with the bricks others have thrown at him.” –David Brinkley*

# Lecture - 15 Chapter 10 Straight Lines

MISCELLANEOUS EXERCISE |

**Question 14. **In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line *x* + *y* = 4?

**Question 15. **Find the distance of the line 4*x* + 7*y* + 5 = 0 from the point (1, 2) along the line 2*x* – *y* = 0.

**Question 16. **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 of 3 units from this point.

**Question 17. **The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (– 4, 1). Find an equation of the legs (perpendicular sides) of the triangle.

**Question 18. **Find the image of the point (3, 8) with respect to the line *x* +3*y* = 7 assuming the line to be a plane mirror.

**Question 19. **If the lines *y* = 3*x* +1 and 2*y* = *x* + 3 are equally inclined to the line *y* = *mx* + 4, find the value of *m*.