Question

Length of the major axis of the ellipse , is

Solution

Correct option is

6

 

The equation of the ellipse is

      

  

Clearly, it is of the form  where b > a

So, major axis of the given ellipse is along y-axis and its length is 6.

SIMILAR QUESTIONS

Q1

The tangent at a point P(θ) to the ellipse  cuts the auxiliary circle at points Q and R. If QR subtends a right angle at the centre C of the ellipse, then the eccentricity of the ellipse is

Q2

Let d1 and d2 be the lengths of the perpendiculars drawn from fociS and S’ of the ellipse  to the tangent at any point P on the ellipse. Then, SP : SP’ = 

Q3

The eccentricity of an ellipse with centre at the origin and axes along the coordinate axes, is 1/2. If one of the directrices is x = 4, then the equation of the ellipse is  

Q4

If the tangents are drawn to the ellipse x2 + 2y2 = 2, then the locus of the mid-point of the intercept made by the tangents between the coordinate axes is

Q5

If A bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on the bar describes a/an

Q6

The normal at a point P on the ellipse x2 + 4y2 = 16 meets the x-axis at Q. If M is the mid-point of the line segment PQ then the locus of M intersects the latusrectums of the given ellipse at the points    

Q7

The equation  represents an ellipse, if  

Q8

The curve with parametric equations 

Q9

 

The curve represented by

 

Q10

The length of the axes of the conic 9x2 + 4y2 – 6x + 4y + 1 = 0 are