Q. 94.0( 3 Votes )
Prove that the distance between the points (a + rcosθ, b + rsinθ) and (a, b) is independent of θ.
Answer :
Given points are A(a + rcosθ, b + rsinθ) and B(a, b).
We know that the distance between the points (x1, y1) and (x2, y2) is 
⇒ AB = r
We can see that AB is independent of θ.
∴ Thus proved.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Some Interesting Proofs in Geometry36 mins
Section Formula30 mins
Previous Year RMO Questions43 mins
NCERT | Most Important Proofs for Boards28 mins
Know About Important Proofs in Triangles33 mins
Measuring distance by Distance formula49 mins
Champ Quiz | Previous Year NTSE Questions29 mins
Smart Revision | Become a Master in Coordinate Geometry54 mins
Champ Quiz | Distance Formula30 mins
Set of Questions on Section Formula54 mins
Some Interesting Proofs in Geometry36 minsSection Formula30 minsPrevious Year RMO Questions43 minsNCERT | Most Important Proofs for Boards28 minsKnow About Important Proofs in Triangles33 minsMeasuring distance by Distance formula49 minsChamp Quiz | Previous Year NTSE Questions29 minsSmart Revision | Become a Master in Coordinate Geometry54 minsChamp Quiz | Distance Formula30 minsSet of Questions on Section Formula54 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
Using distance formula, examine whether the following sets of points are collinear?
(- 1, 2), (5, 0), (2, 1)
KC Sinha - MathematicsUsing distance formula, examine whether the following sets of points are collinear?
(0, 0), (9, 6), (3, 2)
KC Sinha - MathematicsProve that the distance between the points (a + rcosθ, b + rsinθ) and (a, b) is independent of θ.
KC Sinha - Mathematics