“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 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – 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 +3y = 7 assuming the line to be a plane mirror.

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