Question

The line y = 2t2 meets the ellipse  in real point if

Solution

Correct option is

 

Intersection of    

.

SIMILAR QUESTIONS

Q1

S and T are the foci of an ellipse and B is an end of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is 

Q2

The locus of mid-points of focal chords of the ellipse  is 

Q3

If  touches the ellipse , then its eccentricity angle θ is equal to

Q4

If the polar with respect to the parabola y2 = 4ax touches the ellipse , then the locus of its pole is  

Q5

The locus of mid-point of the portions of the tangents to the ellipse  included between the axes is the curve 

Q6

The area of the parallelogram formed by tangents at the extremities of two conjugate diameters of the ellipse  is equal to

Q7

If the angle between the straight lines joining foci and the ends of minor axis of the ellipse  is 900 then the eccentricity is

Q8

The tangent and the normal to the ellipse x2 + 4y2 = 4 at a point P on it meet the major axis in Q and R respectively. If QR = 2, then the eccentric angle of P is

Q9

If CP and CD is a pair of semi-conjugate diameters of the ellipse,

, then CP2 + CD2 =

Q10

The locus of the foot of the perpendiculars to any tangent of an ellipse from the foci is