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Statement 1 : If two circles x^2+y^2+2gx...

Statement 1 : If two circles `x^2+y^2+2gx+2fy=0` and `x^2+y^2+2g^(prime)x+2f^(prime)y=0` touch each other, then `f^(prime)g=fg^(prime)dot` Statement 2 : Two circles touch other if the line joining their centers is perpendicular to all possible common tangents.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Statement 1 : The equation of chord through the point (-2,4) which is ...

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  2. intdx/(x(x^5 + 1))

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  3. Statement 1 : If two circles x^2+y^2+2gx+2fy=0 and x^2+y^2+2g^(prime)x...

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  4. The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...

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  5. Statement 1 : If the circle with center P(t ,4-2t),t in R , cut the c...

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  6. Find the area of the region in which the points satisfy the inequaties...

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  7. If points A and B are (1, 0) and (0, 1), respectively, and point C is ...

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  8. If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , t...

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  9. Column I|Column II If the circle lies in the first quadrant, the...

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  10. Find the number of point (x ,y) having integral coordinates satisfying...

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  11. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

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  12. Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch i...

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  13. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , th...

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  14. If the radii of the circles (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 a...

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  15. A and B are two points in xy-plane, which are 2sqrt2 units distance ap...

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  16. Two circles with radii a and b touch each other externally such that t...

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  17. From the variable point A on circle x^2+y^2=2a^2, two tangents are dra...

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  18. Two fixed circles with radii r1 and r2,(r1> r2) , respectively, touch ...

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  19. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  20. Find the radius of the smallest circle which touches the straight line...

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