Q. 25.0( 1 Vote )

Find the equation of the locus of a point which moves such that the ratio of its distance from (2, 0) and (1, 3) is 5 : 4.

Answer :

Key points to solve the problem:


• Idea of distance formula- Distance between two points A(x1,y1) and B(x2,y2) is given by- AB =


How to approach: To find locus of a point we first assume the coordinate of point to be (h, k) and write a mathematical equation as per the conditions mentioned in question and finally replace (h, k) with (x, y) to get the locus of point.


Let the point whose locus is to be determined be (h,k)


Distance of (h,k) from (2,0) =


Distance of (h,k) from (1,3) =


According to question:



Squaring both sides:





Replace (h,k) with (x,y)


Thus, the locus of a point which moves such that the ratio of its distance from (2, 0) and (1, 3) is 5 : 4 is –



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Enzymes of Digestive SystemEnzymes of Digestive SystemEnzymes of Digestive System42 mins
Circulatory systemCirculatory systemCirculatory system53 mins
Examples of odd electronic systemExamples of odd electronic systemExamples of odd electronic system57 mins
Examples of multi electronic systemExamples of multi electronic systemExamples of multi electronic system63 mins
Centre of Mass Frame (C-Frame)Centre of Mass Frame (C-Frame)Centre of Mass Frame (C-Frame)59 mins
Angular momentum & its conservation | Getting Exam ReadyAngular momentum & its conservation | Getting Exam ReadyAngular momentum & its conservation | Getting Exam Ready37 mins
Moment of Inertia | Understanding the basicsMoment of Inertia | Understanding the basicsMoment of Inertia | Understanding the basics51 mins
Introduction to Rotation & TorqueIntroduction to Rotation & TorqueIntroduction to Rotation & Torque37 mins
Application of conservation of angular momentumApplication of conservation of angular momentumApplication of conservation of angular momentum35 mins
Moment of Inertia | Some special casesMoment of Inertia | Some special casesMoment of Inertia | Some special cases40 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses