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Let P  be a variable point on the ellipse x225+y216=1 with foci at F1  & F2

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Important Questions on Conic Section

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 13
Tangents are drawn to the ellipse x29+y25=1 at the ends of a latusrectum, then
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 14
The equation of common tanget of the curves x2+4y2=8 and y2=4x are 
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 16
Chord of contact of tangents drawn from the point Mh, k to the ellipse x2+4y2=4 intersects at P and Q, subtends a right angle of the centre 'O'
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 18
If a quadrilateral formed by four tangents to the ellipse 3x2+4y2=12 is a square, then 
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 19
Let α, β be a point from which two perpendicular tangent can be drawn to the ellipse 4x2+5y2=20. If F=4α+3β, then
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 20
Equation of a tangent passing through 2,8 to the hyperbola 5x2-y2=5 is
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 21
If the circle x2+y2=a2 intersects the hyperbola xy=c2 in four pointsPx1,y1,Qx2,y2,Rx3,y3,Sx4,y4
then
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 22
Let AB be a double ordinate of hyperbola x2a2-y2b2=1. If O be the centre of the hyperbola and OAB is an equilateral triangle, then which of the following is/are true, if Aα, β ?