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Find the coordinate of the point l m n whitch divide the line segment joining a( -2,2) l m n b(2,8) into four equal parts

Posted by Shashant Ahuja 7 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Rashmi Bajpayee 7 years, 2 months ago

Points L, M and N divide the given line segment in equal parts, then

For point L, the ratio will be 1 : 3.

Then, Coordinates of L = $(\frac{1 \times 2 + 3 \times (- 2)}{1 + 3}, \frac{1 \times 8 + 3 \times 2}{1 + 3}) = (\frac{- 1}{2}, \frac{7}{2})$

M is the mid-point of AB, then

Coordinates of M = $(\frac{- 2 + 2}{2}, \frac{2 + 8}{2}) = (0, 5)$

For point N, the ratio will be 3 : 1, then

Coordinates of N = $(\frac{3 \times 2 + 1 \times (- 2)}{3 + 1}, \frac{3 \times 8 + 1 \times 2}{3 + 1}) = (1, \frac{13}{2})$

0Thank You

Naveen Sharma 7 years, 2 months ago

Ans. a(-2,2) b(2,8)

as l m n divides the segment in four equal parts. Then m ll be mid-point of ab

Co-ordinate of m = (-2+2/2), (2+8/2)= (0,5)

l ll be mid-point of ma.

co-ordinate of l = (-2+0/2), (2+5/2) = (-1,7/2)

n ll be mid-point of mb.

Coordinate of n = (0+2/2), (5+8/2) = (1,13/2)

All four parts al=lm=mn=nb are equal

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ANSWER

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