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Home » Find the coordinates of the point which divides the join of A(3, 2, 5) and B(-4, 2, -2) in the ratio 4 : 3.
Find the coordinates of the point which divides the join of A(3, 2, 5) and B(-4, 2, -2) in the ratio 4 : 3.
CBSE | Class 11 | Exercise 26C | Maths | RS Aggarwal | Three Dimensional Geometry
Find the coordinates of the point which divides the join of A(3, 2, 5) and B(-4, 2, -2) in the ratio 4 : 3.

Answer:

The coordinates of point R that divides the line segment joining points P (x1, y1, z1) and Q (x2, y2, z2) in the ratio m: n are point A( 3, 2, 5 ) and B( -4, 2, -2 ), m and n are 4 and 3.

Formula –

Using the above formula,

\begin{array}{l} = \left( {\frac{{4 \times - 4 + 3 \times 3}}{{4 + 3}},\frac{{4 \times 2 + 3 \times 2}}{{4 + 3}},\frac{{4 \times - 2 + 3 \times 5}}{{4 + 3}}} \right)\\ = \left( {\frac{{ - 7}}{7},\frac{{14}}{7},\frac{7}{7}} \right) \end{array}

( -1,2,1), is the point which divides the two points in ratio 4 : 3.

i

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