Q1 of 7 Page 211

The harmonic conjugate of (4, 1) with respect to the points (3, 2) and (–1, 6) is …


Given collinear points, W, X, Y and Z, Y and Z are harmonic conjugates with respect to W and X. If



Given Points,


O(4,1), R(3,2) and S(–1,6)


The ratio of which O divide RS = x1–x : x–x2 (for x coordinate)


and y1–y : y–y2 (for y coordinate)


here (x1,y1) = R(3,2)


(x2,y2) = S(–1,6)


(x,y) = O( 4,1)


⇒ x1–x : x–x2 = 3–4:4 + 1


m : n = –1 : 5




∴ The harmonic conjugate of the line is


More from this chapter

All 7 →
2

Draw a triangle whose sides are represented by x = 0, y = 0, and x + y = 3.

 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