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The circles x^(2)+y^(2)+2x-2y+1=0 and x^...

The circles `x^(2)+y^(2)+2x-2y+1=0` and `x^(2)+y^(2)-2x-2y+1=0` touch each other

A

touch each other externally

B

touch each other internally

C

intersect on the y-axis

D

intersect on x-axis

Text Solution

Verified by Experts

The correct Answer is:
A
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  2. Equation of a circle which touches y-axis at (0,2) and cuts ff an inte...

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  3. The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each...

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  4. The tangent at any point to the circle x^2+y^2=r^2 meets the coordinat...

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  5. Equation of a circle with centre C (h,k) and radius 5 such that h ^(2...

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  6. If S -= x ^(2) + y ^(2) - 2x - 4y - 4=0, L -= 2x + 2y + 15=0 and P (3,...

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  7. If POR is the triangle formed by the common tangents to the circles x^...

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  8. A rectangle ABCD is inscribed in the circle x^2+y^2+3x+12y+2=0 . If th...

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  9. A line makes equal intercepts of length a on the coordinate axes. A ci...

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  10. alpha,beta and gamma are parametric angles of three points P, Q and R ...

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  11. P is a point on the circle x^2+y^2=9 Q is a point on the line 7x+y+3=0...

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  12. If the circle (x- a)^2+y^2 =25 intersect the circle x^2+(y -b)^2=16 in...

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  13. If O Aa n dO B are equal perpendicular chords of the circles x^2+y^...

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  14. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

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  15. 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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  16. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

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  17. If the distances from the origin of the centers of three circles x^2+y...

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  18. The distance between the chords of contact of tangents to the circle x...

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  19. A variable circle passes through the point A(a ,b) and touches the x-a...

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  20. The locus of a point, which moves such that the lengths of the tangent...

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