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 2 years ago
help me please
Find the equation of the tangents to the circle x^2 + y^2  6x  2y  15 = 0 which are parallel to the line 3x + 4y + 10 = 0
 2 years ago
help me please Find the equation of the tangents to the circle x^2 + y^2  6x  2y  15 = 0 which are parallel to the line 3x + 4y + 10 = 0

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shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0find dy/dx of the circle and the line.. equate both since both are parallel and thus find out the eqn..

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0i see..why are you studying tangents then ? you need to clear up the basics first..

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0am well my teacher probably does it a different way than you do...

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0hmm..what does he do? differentiate instead of finding dy/dx? o.O

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0no we have never done differentiate yet just what does dy/ dx stand for ?

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0it'll come after you differentiate,,nevermind,,must be some alternative way then..

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0like usually we would just sub one of the equations in but i tried doin it like that and it just looks complicated

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1hmmm.. i think he not yet learned about differentiate so, for basic u can use the formula : y  b = m(xa) +  r*sqrt(m^2+1) with a,b is the center of circle, m slope and r radius therefore, first u have to determines all components above

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0ok that seems more familiar we use the formula y  y1 = m(xx1)

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1that is the equation of the tangents to the circle sign + means there are 2 equations there so, if given equation of circle : x^2 + y^2  6x  2y  15 = 0 what;s the center of circle and it radius ?

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0(3,1) is the center and the radius is 5

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1yes.. correct next can u determine the slope of line which parallel with line 3x + 4y + 10 = 0 ?

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1use the property : m1 = m2 (because the lines are parallel) hint : if given a straight line ax+by+c=0, to find slope u can use the formula m=a/b

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0so the slope would be 3/4 ?

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1looks too many formula above, hahaha...

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1u just plug of them, write out ur equation welcome...

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0the answer in the back of the book id diff from the answer i got

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.03x + 4y + 12 =0 or 3x + 4y  38 = 0

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1the formula above have worked... i got like ur book answer

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0i have no idea where i went wrong ?

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1ok, let's check it steps by steps...

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1first, we have the center of circle (3,1) and its radius = 5 right ?

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0oh wait i know what i did i didn't use the whole formula only the first part

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1then the sope of line 3x+4y+10=0 is m1=3/4 so, m2 = 3/4 also (because parallel)

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0i got so far 3x+4y  13 = + 25(25/16) ?

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1now, aplly of them to the formula : y  b = m(xa) +  r*sqrt(m^2+1) y1 = 3/4(x3) +  5 * sqrt((3/4)^2 + 1) y1 = 3/4(x3) +  5 * sqrt(25/16) y1 = 3/4(x3) +  5 * 5/4 y1 = 3/4(x3) +  25/4 multiply by 4 to both sides, gives 4(y1) = 3(x3) + 25 4y  4 = 3x + 9 + 25 3x + 4y  4 9 + 25 = 0 3x + 4y  13 +  25 = 0 the first equation : 3x + 4y  13 + 25 = 0 3x + 4y + 12 = 0 2nd equation : 3x + 4y  13  25 = 0 3x + 4y  38 = 0

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0whats *sqrt ? is it square root?

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1* the symbol of multiplication sqrt = square root

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0oooh thats what i was doing rong i didn't know what that was :P

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.1hahahaha... u must KNOW it

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0haha sorry yeah i got it now i was squaring 5 :P whoops thanks for your help
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