Keerthana
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बिंदु (3, - 1) की रेखा12x - 5y - 7 = 0 से दूरी होगी ?

a

113frac{1}{13} units

b

4313frac{43}{13} units

c

3413frac{34}{13} units

d

15frac{1}{5} units

Answer : Option C
Explanation :
माना अभीष्ट दूरी = d

d(3,1)=12x5y7122+52Rightarrow d_{(3,-1)}=left|frac{12 x-5 y-7}{sqrt{12^{2}+5^{2}}} ight|

=12×35×17169=left|frac{12 imes 3-5 imes-1-7}{sqrt{169}} ight|

=36+5713=3413=3413=left|frac{36+5-7}{13} ight|=left|frac{34}{13} ight|=frac{34}{13} units

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