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Secant

13. Let P and...

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13. Let P and Q be pints on the ellipse16x2+25y2=400 so that PQ=96/25 and P and Q lie above major axis. Circle drawn PQ as diameter touches the major axis at the focus with positive abscissae, then slope of PQ is

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Q. A tangent to the ellipse

\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1

intersects the tangent at the end of the major axis at,the points

P

Q

. If the circle on

P Q

as diameter passes through

R

R

y = x

intersects the hyperbola

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

at the points P and Q. The eccentricity of ellipse with PQ as major axis and minor axis of length

\frac{5}{\sqrt{2}}

Given PQ = 4 cm, with PQ as diameter draw a circle. Draw two tangents to the circle at ‘P’ and ‘Q’.

P

be a point on the ellipse

\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1

and the line through

P

parallel to the y-axis meets the circle

x^{2} + y^{2} = 9

Q

P, Q

are on the same side of the x-axis. If

T

P Q

\frac{P R}{P Q} = \frac{1}{2}

, then the locus of

R

E_{1}

E_{2}

be the two ellipses centred at origin. The major axis of

E_{1}

E_{2}

x -

y -

axis respectively. Let

S

x^{2} + (y - 1)^{2} = 2,

the straight line

x + y = 3

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E_{2}

P, Q

R

respectively such that

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e_{1}

e_{2}

are the eccentricities of

E_{1}

E_{2},

then which of the following is/are correct

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