if P divides AB in K : 1 then what are the co-ordinates of P if the points of A and B are (x1, y1), (x2, y2).
none of these
Given:
m : n = K : 1
If point P divides line segment AB internally in the ratio K ∶ 1.
Used formula:
P(x, y) = \(\rm \left(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}\right)\)
Calculation:
In the above given formula:
m : n = K : 1
Upon substituting the values given in the above formula:
P(x, y) = \(\rm \left(\frac{kx_2+x_1}{k+1},\frac{ky_2+y_1}{k+1}\right)\)
Answer is None of these.
Important Questions from Sectional Formula
If the point C(1, 1) divides the line segment joining A(-2, 7) and B in the ratio 3 ∶ 2 internally, the coordinates of B are
What is the ratio in which the point \({\rm{C}}\left( { - \frac{2}{7},{\rm{\;}} - \frac{{20}}{7}} \right)\) divides the line joining the points A(-2, -2) and B(2, -4)?
In what ratio does the y-axis divide the line segment joining the points (-3, -4) and (1, 2)?
The line x + y = 4 cuts the line joining P(-1, 1) and Q(5, 7) at R. What is PR ∶ RQ equal to ?
Let \(P\) and \(Q\) be the points on the positive \(x\)-axis and positive \(y\)-axis respectively. A point \(N(2, 1)\) divides the line segment \(PQ\) in the ratio \(1 : 2\). What is the equation of the line?
