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Statement 1 : If the line x+y=3 is a tan...

Statement 1 : If the line `x+y=3` is a tangent to an ellipse with focie (4, 3) and `(6,y)` at the point (1, 2) then `y=17.` Statement 2 : Tangent and normal to the ellipse at any point bisect the angle subtended by the foci at that point.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-t...

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  2. A ray emanating from the point (5, 0) is INCIDENT on the hyperbola 9x^...

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  3. Statement 1 : If the line x+y=3 is a tangent to an ellipse with focie ...

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  4. Normal is drawn at one of the extremities of the latus rectum of the ...

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  5. Statement 1 : The area of the ellipse 2x^2+3y^2=6 is more than the are...

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  6. An ellipse and a hyperbola are confocal (have the same focus) and the ...

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  7. The point of intersection of the tangents at the point P on the ellips...

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  8. The distance between two directrices of a rectangular hyperbola is 10 ...

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  9. Statement 1 : Tangents are drawn to the ellipse (x^2)/4+(y^2)/2= at th...

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  10. Find the equation of normal to the hyperbola 3x^2-y^2=1 having slope 1...

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  11. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  12. Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1...

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  13. A circle has the same center as an ellipse and passes through the foci...

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  14. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

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  15. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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  16. The angle subtended by common tangents of two ellipses 4(x-4)^2+25 y^2...

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  17. P N is the ordinate of any point P on the hyperbola (x^2)/(a^2)-(y^2)/...

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  18. If P Q R is an equilateral triangle inscribed in the auxiliary circle ...

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  19. Show that the equation 9x^2-16 y^2-18 x+32 y-151=0 represents a hyperb...

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  20. Find the equation of hyperbola, whose center is (-3,2), one vertex is ...

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