✕

Find the best tutors and institutes for IIT JEE Coaching

Find Best IIT JEE Coaching

✕

Search for topics

How to find the no of common tangents to the circles x^2 + y^2 = 4 , x^2+y^2 -6x-8y =24

Follow 9

10 Answers

Distance between centres = Sum of radii Three tangents. Two direct common tangent and one indirect common tangent. Distance between centres Sum of radii Two tangents. Two direct common tangents. Distance between centres > Sum of radii Four tangents. Two direct common tangent and two indirect... read more

Distance between centres = Sum of radii Three tangents. Two direct common tangent and one indirect common tangent.

Distance between centres Sum of radii Two tangents. Two direct common tangents.

Distance between centres > Sum of radii Four tangents. Two direct common tangent and two indirect common tangents.

read less 0

Comments

Centre of first Circle is A(0,0) and second centre is B(3,4). So distance between centres is 5. Radius of first circle=x=2 and radius of second y=7 So AB=|x-y|. So circles touch internally. Hence only one common tangent.

0

Comments

Let R and r be the radii of the two circles. Find out the distance d between the centres of the circles. Then, If d< abs(R-r), no common tangents If d = abs(R-r), one common tangent If abs(R-r) ≤ d ≤ max(R,r), two common tangents If d = max(R,r), three tangents If d > max(R,r), four... read more

Let R and r be the radii of the two circles. Find out the distance d between the centres of the circles. Then,

If d< abs(R-r), no common tangents

If d = abs(R-r), one common tangent

If abs(R-r) ≤ d ≤ max(R,r), two common tangents

If d = max(R,r), three tangents

If d > max(R,r), four tangents.

read less 0

Comments

First of all calculate the distance between centers of circle C (0,0) and C' (3,4) which is 5 units.By comparing general equation of circle, Radius of first circle is 2 unit and that of second is 7unit. As CC'=R-r, it means circles are touching internally. Hence, we can say that only one common tangent... read more

First of all calculate the distance between centers of circle C (0,0) and C' (3,4) which is 5 units.By comparing general equation of circle, Radius of first circle is 2 unit and that of second is 7unit. As CC'=R-r, it means circles are touching internally. Hence, we can say that only one common tangent is possible.

0

Comments

View 8 more Answers

Related Questions

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a QuestionRecommended Articles

Useful Tips for Cracking JEE Main 2015

Lakhs of students sit for the JEE Main exam every year to fulfill their dream of joining the IIT Club. But only top 20% of the students make it to the JEE Advanced exam. When you are competing for the best engineering institutes in India, you need to be better than your best! Though, there is nothing to worry if you start...

Online JEE Coaching: Advantages and Disadvantages

Technology has changed the way we live and how we transfer knowledge. Gone are the days, when the only medium of exchanging ideas and transferring knowledge was possible through a classroom. With the advent of advanced and faster technology, online coaching has gained immense popularity among students aiming to sit for...

What are the important topics for IIT JEE...

With the passion to pursue engineering from a premier institute like IIT, a lot of students aim at cracking the IIT JEE to live this dream right from their 11th standard. Considered as one of the most difficult entrance exams across the globe, not many know how to prepare for JEE and lack correct guidance. Here we will...

Top JEE Advanced Preparation Tips

If you have already made to the top list of 1,50,000 students in JEE Main exam, you have won half the battle of JEE exam. Now your mission is to clear the JEE Advanced to secure your place in one of the most reputed technology institutes in India -- the IITs. Clearing the JEE Main has helped you cover half the distance...

Find IIT JEE Coaching near you

Looking for IIT JEE Coaching ?

Find best IIT JEE Coaching in your locality on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you X ### Looking for IIT JEE Coaching Classes?

Find best tutors for IIT JEE Coaching Classes by posting a requirement.

- Post a learning requirement
- Get customized responses
- Compare and select the best

Find best IIT JEE Coaching Classes in your locality on UrbanPro

Post your learning requirement