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The curve x y=c ,(c >0), and the circle ...

The curve `x y=c ,(c >0),` and the circle `x^2+y^2=1` touch at two points. Then the distance between the point of contacts is 1 (b) 2 (c) `2sqrt(2)` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The chord P Q of the rectangular hyperbola x y=a^2 meets the axis of x...

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  2. If tangents P Q and P R are drawn from a point on the circle x^2+y^2=2...

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  3. The curve x y=c ,(c >0), and the circle x^2+y^2=1 touch at two points....

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  4. An ellipse is sliding along the coordinate axes. If the foci of the ...

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  5. If S1a n dS2 are the foci of the hyperbola whose length of the transve...

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  6. The locus of the point which is such that the chord of contact of t...

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  7. The equation of conjugate axis of the hyperbola x y-3y-4x+7=0 is y+x=3...

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  8. If Sa n dS ' ' are the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 ,...

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  9. The asymptote of the hyperbola x^2/a^2+y^2/b^2=1 form with ans tangen ...

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  10. Let d1a n dd2 be the length of the perpendiculars drawn from the foci...

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  11. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

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  12. The line x=t^2 meets the ellipse x^2+(y^2)/9=1 at real and distinct ...

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  13. The equation of a rectangular hyperbola whose asymptotes are x=3 and y...

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  14. The eccentric angle of a point on the ellipse (x^2)/4+(y^2)/3=1 at a d...

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  15. The center of a rectangular hyperbola lies on the line y=2xdot If one...

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  16. (x-1)(y-2)=5 and (x-1)^2+(y+2)^2=r^2 intersect at four points A, B, C,...

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  17. The eccentricity of the locus of point (2h+2,k), where (h , k) lies on...

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  18. If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2...

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  19. The auxiliary circle of a family of ellipses passes through the ori...

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  20. Four points are such that the line joining any two points is perpendic...

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