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If the circles x^2+y^2-9=0 and x^2+y^2+2...

If the circles `x^2+y^2-9=0` and `x^2+y^2+2alphax+2y+1=0` touch each other, then `alpha` is `(a) -4/3` (b) 0 (c) 1 (d) `4/3`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A circle with center (a , b) passes through the origin. The equation...

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  2. A particle from the point P(sqrt3,1) moves on the circle x^2 +y^2=4...

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  3. If the circles x^2+y^2-9=0 and x^2+y^2+2alphax+2y+1=0 touch each other...

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  4. The equation of a circle of radius 1 touching the circle x^2 + y^2 - 2...

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  5. Which of the following lines have the intercepts of equal lengths on t...

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  6. If a circle passes through the point of intersection of the lines x+ y...

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  7. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

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  8. The equation of the line(s) parallel to x-2y=1 which touch(es) the ci...

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  9. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

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  10. The range of value of 'a' such that angle theta between the pair of ta...

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  11. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

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  12. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

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  13. The radius of the circle touching the line 2x + 3y +1 = 0 at (1,-1) an...

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  14. If the abscissa and ordinates of two points Pa n dQ are the roots of t...

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  15. Line segments A C and B D are diameters of the circle of radius 1. If ...

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  16. The acute angle between the line 3x-4y=5 and the circle x^2+y^2-4x+2y-...

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  17. If two perpendicular tangents can be drawn from the origin to the c...

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  18. Let A(−4,0), B(4,0) & C(x,y) be points on the circle x^2 + y^2 = 16 su...

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  19. If the circle x^2 + y^2 + ( 3 + sin beta) x + 2 cos alpha y = 0 and x...

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  20. A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric...

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