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11 questions
The points A and B have polar coordinates (6, −3π) and (8,6π) respectively.
213
(100 − 483)
2
10
OQPR is a rhombus, where Q and R have polar coordiantes (2,32π) and (2,0) respectively and O is the pole. The polar coordinates of P are
(2,2π)
(2,3π)
(23,65π)
(23,3π)
The polar coordinates of P are (4,4π) The pole,O, is the midpoint of the line PQ.
The Cartesian coordinates of Q are
(−42,−42)
(−22,−22)
(−23,−23)
(−4,−43π)
A and B are the points of intersection of the line r=cosecθ and the circle r=4cosθ . O is the pole.
The size of angle AOB, in radians,
is
3π
65π
4π
125π
The radius of the circle with polar equation r=6cosθ−2sinθ
is
4
6
40
10
A curve has polar equation r2sin2θ=1
The Cartesian equation of the curve is
2(x2+y2)y=1
xy=2
2xy=1
x2+y2=y
The circle with polar equation r=3 intersects the curve with polar equation r=2cos2θ at the points P,Q,R and S.
The area of the quadrilateral PQRS is
6+23
365π2
33
3
The polar equation of this curve is
r=1+cos2θ
r=cos2θ
r=1+cosθ
r=1−cosθ
The polar equation of the curve is
r=cos3θ
r=3cosθ
r=3sinθ
r=sin3θ
The polar equation of the curve is
r=cos3θ
r=sin3θ
r=sec3θ
r=cosec3θ
The polar eqiuation of the curve is
r=1.5 +2cosθ
r=1.5 −2cosθ
r=2+1.5cosθ
r=2+1.5sinθ
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