Q. 1 F4.1( 23 Votes )

# Find the distance between the points:P(a sin a, acos a) and Q(a cos a, – a sin a)

In this question, we have to use the distance formula to find the distance between two points which is given by, say for points P(x1,x2) and Q(y1,y2) then

PQ = √(x2 – x1)2 + (y2 – y1)2

PQ = √{(a cos a – a sin a)2 – (– a sin a – a cos a)2}

= √{(a2 cos2 a + a2 sin2 a – 2a2 sina.cosa + a2 cos2 a + a2 sin2 a + 2a2 sina.cosa }

= √{ a2 (cos2 a + sin2 a) + (a2 (cos2 a + sin2 a))}

= √a2(1) + a2 (1)

= √a2(1 + 1)

PQ = a√2 units

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Section Formula30 mins
Measuring distance by Distance formula49 mins
Champ Quiz | Previous Year NTSE Questions29 mins
Smart Revision | Become a Master in Coordinate Geometry54 mins
Distance Formula and Section Formula44 mins
NCERT | Quiz on Section Formula43 mins
Champ Quiz | Distance Formula30 mins
Set of Questions on Section Formula54 mins
Smart Revision | Coordinate Geometry46 mins
Imp. Qs. on Distance Formula68 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
view all courses