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Statement 1 : The locus of the center of...

Statement 1 : The locus of the center of a variable circle touching two circle `(x-1)^2+(y-2)^2=25` and `(x-2)^2+(y-1)^2=16` is an ellipse. Statement 2 : If a circle `S_2=0` lies completely inside the circle `S_1=0` , then the locus of the center of a variable circle `S=0` that touches both the circles is an ellipse.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1 : For the ellipse (x^2)/5+(y^2)/3=1 , the product of the p...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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