## Question

### Solution

Correct option is x2 + y2 = 4 a2 = 4,  b2 = 1

Let θ be eccentric angle at any point P of ellipse, Tangent at Normal at Putting values of a and b; tangent is … (1)

and normal as … (2)

Major axis is y = 0                                … (3)

(1) and (2) meet major at Q and R given

Solve to get .

#### SIMILAR QUESTIONS

Q1

A circle is drawn on the major axis of the ellipse 9x2 + 16y2 = 144 as diameter. The equation of circle is

Q2

The equation represents an ellipse, if

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

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

Q10

If CP and CD is a pair of semi-conjugate diameters of the ellipse, , then CP2 + CD2 =