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There are two circles whose equation are...

There are two circles whose equation are `x^2+y^2=9` and `x^2+y^2-8x-6y+n^2=0,n in Zdot` If the two circles have exactly two common tangents, then the number of possible values of `n` is (a)2 (b) 8 (c) 9 (d) none of these

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let C1 be the circle with center O1(0,0) and radius 1 and C2 be the ci...

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  2. C1 is a circle of radius 1 touching the x- and the y-axis. C2 is anoth...

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  3. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

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  4. State whether the statement is True or False: The line x+3y=0 is a dia...

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  5. Prove That : No tangent can be drawn from the point (5/2,1) to the cir...

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  6. A circle passes through the points A(1,0) and B(5,0), and touches the ...

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  7. Prove that the locus of the point that moves such that the sum of the ...

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  8. The equation of four circles are (x+-a)^2+(y+-a)^2=a^2 . The radius of...

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  9. An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...

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  10. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

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  11. If (alpha,beta) is a point on the circle whose center is on the x-axi...

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  12. The area of the triangle formed by joining the origin to the points of...

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  13. A circle with center (a , b) passes through the origin. The equation...

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

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

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

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

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

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

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