Question

Length of perpendicular from orign to line x+√3y=1 is P, the value of P is​

Answer 1

SOLUTION

GIVEN

Length of perpendicular from origin to line x + √3y = 1 is P

TO DETERMINE

The value of P

EVALUATION

Here it is given that the length of perpendicular from origin to line x + √3y = 1 is P

So by the given condition

$\displaystyle \sf{P = \bigg| \frac{1}{ \sqrt{ {1}^{2} + {( \sqrt{3} )}^{2} } } \bigg| }$

$\displaystyle \sf{ \implies \: P = \bigg| \frac{1}{ \sqrt{ 1 + 3 } } \bigg| }$

$\displaystyle \sf{ \implies \: P = \bigg| \frac{1}{ \sqrt{4} } \bigg| }$

$\displaystyle \sf{ \implies \: P = \bigg| \frac{1}{2 } \bigg| }$

$\displaystyle \sf{ \implies \: P = \frac{1}{2 } }$

FINAL ANSWER

Hence the required value

$\displaystyle \sf{ \: P = \frac{1}{2 } }$

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