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Cells are the building blocks of the living world. Living things as diverse as bacteria, archaea, algae, fungi, protozoans, animals, and plants all consist of one or more cells. Cells are made up of components that help living things to eat, respire, excrete wastes, and perform all of the necessary functions of life.
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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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Harshita Saini 2 years, 10 months ago
1Thank You