Q6 of 7 Page 211

If AB = x + 3, BC = 2x, and AC = 4x–5 then for what value of x, B lies on AC?

Given lines, AB = x + 3


BC = 2x


AC = 4x –5


If B lies on AC ⇒ AB + BC = AC


x + 3 + 2x = 4x –5


x = 8


So, B lies on AC if x = 8


More from this chapter

All 7 →
3

Express y in terms of x given that 2x–5y = 7. Check whether the point (–3 –2) is on the given line.

 4

Each side of a square is of length 6 units and the centre of the square is (–1 2). One of its diagonals is parallel to x + y = 0. Find the coordinates of the vertices of the square.

 5

The area of triangle formed by the line with the coordinate axes is-

a) ab


b)2ab


c)1/2ab


d)2/2ab

 7

The distance of the point (3 5) from the line 2x + 3y–14 = 0 measured parallel to the line x–2y = 1 is:

a) 7


b) 13


c) 5


d) 3