Question

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

Solution

Correct option is

 

The equation of the conic is  

       

  

  

The represents an ellipse whose major and minor axes are of lengths  

      

SIMILAR QUESTIONS

Q1

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’ = 

Q2

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  

Q3

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

Q4

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

Q5

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    

Q6

The equation  represents an ellipse, if  

Q7

The curve with parametric equations 

Q8

 

The curve represented by

 

Q9

Length of the major axis of the ellipse , is

Q10

The eccentricity of the ellipse