Question

a ka man gyat kijiye yadi A (-3,-14) our B(a,-5) ke madhye 9 ikai he ​

Answer 1

Answer:

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Answer 2

SOLUTION

TO DETERMINE

The value of a if the Distance between the points A(-3,-14) & B (a, - 5) is 9 unit

EVALUATION

Here the the points are A(-3,-14) & B (a, - 5)

Now the distance between them

= AB

$= \sf{ \sqrt{ {(a + 3)}^{2} + {( - 5 + 14)}^{2} } }$

$= \sf{ \sqrt{ {(a + 3)}^{2} + {( 9)}^{2} } }$

Now by the given condition

$\sf{ \sqrt{ {(a + 3)}^{2} + {( 9)}^{2} } = 9 }$

$\sf{ \implies \: {(a + 3)}^{2} + {( 9)}^{2} } = {9}^{2}$

$\sf{ \implies \: {(a + 3)}^{2} = 0}$

$\sf{ \implies \: a + 3 = 0}$

$\sf{ \implies \: a = - 3}$

FINAL ANSWER

Hence the required value of a = - 3

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