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The circles : x^2+y^2 - 10x + 16 =0 and ...

The circles : `x^2+y^2 - 10x + 16 =0` and `x^2+y^2 =a^2` : intersect at two distinct points if :

A

` alt2`

B

`2ltalt8`

C

`agt8 `

D

`a=2`.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. A positive acute angle is divided into two parts whose tangents are 1/...

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  2. The angle between the line joining the foci of an ellipse to one parti...

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  3. The circles : x^2+y^2 - 10x + 16 =0 and x^2+y^2 =a^2 : intersect at tw...

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  4. The number of points on the line x + y = 4, which are unit distance ap...

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  5. For the two circles x^2+y^2= 16 and x^2+y^2-2y=0 there is/are :

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  6. If C is a point on the line segment joining A (-3, 4) and B (2, 1) suc...

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  7. The point (-4,5) is the vertex of a square and one of its diagonals is...

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  8. The vertices of a family of triangles have integer co-ordinates. If tw...

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  9. A line has slope m and y-intercept 4. The distance between the origin ...

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  10. One side of length 3a of a triangle of area a^2 square units lies on t...

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  11. The distance of the point (1, 2) from the line x+y+5 = 0 measured alon...

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  12. Area of the triangle formed by the lines y=2x, y=3x and y=5 is equal t...

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  13. Triangle ABC has vertices (0, 0) (11, 60) and (91, 0). If the line y= ...

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  14. If the lines y= 3x + 1 and 2y = x + 3 are equally inclined to the line...

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  15. The vertices of a triangle are (3, 0), (3, 3) and (0, 3). Then the coo...

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  16. Area of the equilateral triangle inscribed in circle x^2+y^2 -7x+ 9y+5...

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  17. The equation of one of the diameters of the circle x^2+y^2 - 6x + 2y =...

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  18. If two chords having lengths a^2- 1 and 3 (a + 1), where a is a consta...

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  19. The equation of the parabola having focus (3, 2) and vertex (1, 2), is...

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  20. The sum of the distances of a point (2, -3) from the foci of an ellips...

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