For hyperbola $\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$ , and circle $x^{2} + y^{2} = 49$ , Let $P, Q, R, S$ be concyclic points P in 1st and Q in 2nd qudrant.

Find slope of $P Q$ .

Q. Let

P

be a point on the ellipse

\frac{x^{2}}{25} + \frac{y^{2}}{9} = 1

. An ordinate

M P

of the ellipse meets the auxiliary circle at

Q

, then the locus of the point of intersection of normals at

P

and

Q

to the respective curve is

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Let ‘E’ be the ellipse x29+y24=1 and 'C' be the circle x2+y2=9. Let P and Q be the points (1, 2) and (2, 1) respectively. Then:

The correct option is D P lies inside C but outside E E(P) > 0, E(Q) < 0 C(P) < 0 and C(Q) < 0 ∴ P lies inside C but outside E

Let ‘E’ be the ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ and 'C' be the circle $x^{2} + y^{2} = 9$ . Let P and Q be the points (1, 2) and (2, 1) respectively. Then:

The correct option is D
P lies inside C but outside E

E(P) > 0, E(Q) < 0

C(P) < 0 and C(Q) < 0

$∴$ P lies inside C but outside E