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Statement 1 : If there is exactly one po...

Statement 1 : If there is exactly one point on the line `3x+4y+5sqrt(5)=0` from which perpendicular tangents can be drawn to the ellipse `(x^2)/(a^2)+y^2=1,(a >1),` then the eccentricity of the ellipse is `1/3dot` Statement 2 : For the condition given in statement 1, the given line must touch the circle `x^2+y^2=a^2+1.`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1 : Any chord of the conic x^2+y^2+x y=1 through (0, 0) is b...

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  2. Find the coordinates of the foci, the eocentricity, the latus rectum, ...

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  3. Statement 1 : If there is exactly one point on the line 3x+4y+5sqrt...

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  4. If the latus rectum of a hyperbola forms an equilateral triangle with ...

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  5. Statement 1 : For the ellipse (x^2)/5+(y^2)/3=1 , the product of the p...

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  6. If the latus rectum subtends a right angle at the center of the hyp...

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  7. Statement 1 : The locus of the center of a variable circle touching...

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  8. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  9. Statement 1 : A triangle A B C right-angled at A moves so that its per...

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  10. Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-t...

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

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

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

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

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

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

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

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

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

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

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