A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 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
anonymous
 3 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

This Question is Closed

shubhamsrg
 3 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
 3 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..

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

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

anonymous
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0it'll come after you differentiate,,nevermind,,must be some alternative way then..

anonymous
 3 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
 3 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

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

RadEn
 3 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 ?

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

RadEn
 3 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
 3 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

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

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

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

anonymous
 3 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

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

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

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

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

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

anonymous
 3 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
 3 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)

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

RadEn
 3 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

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

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

anonymous
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1hahahaha... u must KNOW it

anonymous
 3 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
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.