Question

get 1000 points give only answer
find the point k that divides p(-2,11) and Q(1,2) in the ratio 1:2 internally

Answer 1

we have to find the value of k that divides P(-2, 11) and Q(1, 2) in the ratio 1 : 2 internally.

solution : P(-2, 11) .............R......................Q(1, 2)

let R is the point that divides P(-2, 11) and Q(1, 2) in the ratio 1 : 2 internally.

using section formula,

R = [(mx₂ + nx₁)/(m + n) , (my₂ + ny₁)/(m + n)]

here m : n = 1 : 2

so, R = [(1 × 1 + 2 × -2)/(1 + 2), (1 × 2 + 2 × 11)/(1 + 2)]

= [(-3/3), (24/3) ]

= (-1, 8)

Therefore the required point is (-1, 8).

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