## Question

### Solution

Correct option is

Ellipse

A tangent to ellipse is … (1)

Let (x1y1) be pole of tangent w.r.t. circle

x2 + y2 = a2 xx+ yy1 = a2        … (2)

(1) and (2) are same.

Now a compare and find locus of  (x1y1).

#### SIMILAR QUESTIONS

Q1

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

Q2

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Q3

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Q4

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Q5

If P and D are the extremities of a pair of conjugate diameters of the ellipse , then the locus of the middle point ofPD is

Q6

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Q7

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

Q8

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Q9

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

Q10

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