The Eccentric Angle Of A Point On The Ellipse  whose Distance From The Centre Of The Ellipse Is 2, Is

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Question

The eccentric angle of a point on the ellipse  whose distance from the centre of the ellipse is 2, is

Solution

Correct option is

 

Let θ be the eccentric angle of the point P. Then, the coordinates of P are 

The centre of the ellipse is at the origin. It is given that OP = 2.

    

  

  

  

  

  

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Testing

SIMILAR QUESTIONS

Q1

The orbit of earth is an ellipse with eccentricity 1/60 with the sun at one focus the major axis being approximately 186 × 106 miles in length. Find the shortest and longest distance of the earth from the sun.   

Q2

 

A straight line PQ touches the ellipse  and the circle x2 + y2 = r(b < r < a). RS is a focal chord of the ellipse. If RSis parallel to PQ and meets the circle at points R and S. Find the length of RS

Q3

If α and β are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is 

Q4

, then the chord joining two points θ1 and θ2 on the ellipse  will subtend a right angle at

Q5

The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is a/an

Q6

The number of values of c such that the straight line y = 4x + ctouches the curve , is  

Q7

, then PF1 + PF2 equals

Q8

An ellipse slides between two perpendicular straight lines. Then, the locus of its centre is a/an

Q9

The sum of the squares of the perpendicular on any tangent to the ellipse  from two points on the minor axis, each at a distance  from the centre is 

Q10

If any tangent to the ellipse  intercepts equal length lon the axes, then =