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Sequences And Series

Question
CBSEENMA11015009
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Find the coordinates of the point which divides the line segment formed by joining the points (- 2, 3, 5) and (1, -4, 6) in the ratio 2 : 3 internally.

Solution
straight x equals fraction numerator 2 left parenthesis 1 right parenthesis plus 3 left parenthesis negative 2 right parenthesis over denominator 2 plus 3 end fraction equals negative 4 over 5
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straight z equals fraction numerator 2 left parenthesis 6 right parenthesis plus 3 left parenthesis 5 right parenthesis over denominator 2 plus 3 end fraction equals 27 over 5 
Point P is open parentheses negative 4 over 5 comma space 1 fifth comma space 27 over 5 close parentheses     
     

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Some More Questions From Sequences and Series Chapter

Find the octant in which the following points lie:
A (-3,1, 2), B (-3, 1, -2), C (-3, -1,-2), D (3, -1, -2) and E (3,1, 2).

A point lies on the x-axis at a distance of 5 units towards OX'. What are its co-ordinates?

A point lies on z-axis at a distance of 3 units in the direction OZ. Write its co-ordinates.

A point lies on y-axis and is at a distance of 4 units in the direction OY'. Write its co-ordinates.

A point lies on XY-plane with distances 4 units along OX and 3 units along OY. Write its co-ordinates.

A point lies on YZ-plane with distances 4 units along OY and 5 units along OZ'. Write its co-ordinates.

A point lies on ZX-plane with distances 3 units along OX' and 5 units along OZ'. Write its co-ordinates.

Find the perpendicular distance of point A (-3, 2, -4) from:
(a) ZX-plane      (b)XY-plane         (c) YZ-plane.

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