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Pollution is the introduction of contaminants into the natural environment that cause adverse change. Pollution can take the form of any substance or energy. Pollutants, the components of pollution, can be either foreign substances/energies or naturally occurring contaminants.
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Preeti Dabral 2 years, 10 months ago (2983787)
Let the required ratio be k:1.
Then, by the section formula, the coordinates of P are
{tex}P \left( \frac { 4 k - 3 } { k + 1 } , \frac { - 9 k + 5 } { k + 1 } \right){/tex}
{tex}\therefore \quad \frac { 4 k - 3 } { k + 1 } = 2 \text { and } \frac { - 9 k + 5 } { k + 1 } = - 5{/tex} [{tex}\because{/tex} P(2, 5) is given]
{tex}\Rightarrow{/tex} 4k - 3 = 2k + 2 and -9k + 5 = -5k - 5
{tex}\Rightarrow{/tex} 2k = 5 and 4k = 10
{tex}\Rightarrow{/tex} {tex}k = \frac { 5 } { 2 }{/tex} in each case.
So, the required ratio is {tex}\frac { 5 } { 2 } : 1, {/tex} which is 5:2
Hence, P divides AB in the ratio 5:2.
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