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irina1246 [14]
3 years ago
15

. Find the equation of the straight line at a distance of 3 units from the origin such that the perpendicular from the origin to

the line makes an angle a, given by the equation tan =5/12, with the positive direction of the axis of x?​
Mathematics
2 answers:
Alex787 [66]3 years ago
8 0

Answer:

Plz Brain -list the answer  It takes effort tnx dear

Step-by-step explanation:

From given condition

equation of line is given as,

x*cos(α)+y*sin(α)=p

& as tanα= 5/12 so from Pythagoras theorem

sinα=  5/13

​cosα=  12/13

⇒12x+5y=39

<h2> ⇒12x+5y−39=0</h2>
Sergeeva-Olga [200]3 years ago
7 0

p = 3, α = tan-1 (5/12) So, tan α = 5/12 sin α = 5/13 cos α = 12/13 The equation of the line in normal form is given by By using the formula, x cos α + y sin α = p Now, substitute the values, we get 12x/13 + 5y/13 = 3 12x + 5y = 39 ∴

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