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Statement 1 : A triangle A B C right-ang...

Statement 1 : A triangle `A B C` right-angled at `A` moves so that its perpendicular sides touch the curve `(x^2)/(a^2)+(y^2)/(b^2)=1` all the time. Then the loci of the points `A ,Ba n dC` are circle. Statement 2 : The locus of thepoint of intersection of two perpendicular tangents to the curve is a director circle.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1 : The locus of the center of a variable circle touching...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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