Question

The equation x2 + 4xy + y2 + 2x + 4y + 2 = 0 represents

Solution

Correct option is

A hyperbola

 

x2 + 4xy + y2 + 2x + 4y + 2 = 0

  h = coeff. Of 2xy = 2, a = coeff. of x2 = 1, b = 1

      h2 = (2)2 = 4, ab = (1) (1), h2 > ab  hyperbola.

SIMILAR QUESTIONS

Q1

The equation of the ellipse, referred to its axes as the axes of coordinates, which passes through the points (2, 2) and (1, 4) is

Q2

If CP and CD be any two semi-conjugate diameters of the ellipse  and the circle with CP and CD as diameters intersect in R, then R lies on the curve

Q3

The locus of the point whose polar with respect to the ellipse  touches the parabola y2 = 4kx is 

Q4

The polar of lx + my =1 with respect to the ellipse  lies on the ellipse  if

Q5

The locus of the poles of the tangents to the ellipse  w.r.t. the circle x2 + y2 = a2 is

Q6

A variable point P on the ellipse eccentricity e is joined to its foci S, S’. The locus of the incentre of   is an ellipse of eccentricity

Q7

The locus of the point of intersection of two perpendicular tangent to the ellipse , is

Q8

The equation of the ellipse with focus (–1, 1), directrix x – y + 3 = 0 and eccentricity , is

Q9

The equation of the ellipse whose center is at origin and whihch passes through the points (–3, 1) and (2, –2) is

 

Q10

The equation of the tangent to the ellipse x2 + 16y2 = 16 making an angle of 600 with x-axis is