1800-150-456-789
FlagBACK
Flag Analytical Geometry> if the coordinates of a variable point P ...
question mark

if the coordinates of a variable point P be (cos theta + sin theta, sin theta - cos theta ), where theta is the parameter then the equation of locus of P is

Aayush Kansara , 7 Years ago
Grade 11
anser 1 Answers
Siva Sankar

Last Activity: 7 Years ago

Given the gen.pt is (cos\theta+sin\theta,sin\theta-cos\theta)
This imply  x=cos\theta+sin\theta and y=sin\theta-cos\theta.        Square both x and y and add them up.
 
y^{^{2}}=1-2sin\theta*cos\theta
x^{^{2}}=1+2sin\theta*cos\theta
This implies x^{^{2}} + y^{^{^{2}}} =2.
It is a circle with center(0,0) and radius root2  ​  ​
 
 
 
 

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Other Related Questions on analytical geometry

question mark
  • The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is 
analytical geometry
0 Answer Available

Last Activity: 2 Years ago

question mark
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
0 Answer Available

Last Activity: 3 Years ago

question mark
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
0 Answer Available

Last Activity: 3 Years ago

question mark
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius. 
 
analytical geometry
0 Answer Available

Last Activity: 3 Years ago

question mark
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
0 Answer Available

Last Activity: 3 Years ago