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Show that the circles x^2 + y^2 + 2x-8y+...

Show that the circles `x^2 + y^2 + 2x-8y+8=0` and x^2 + y^2 + 10x - 2y+ 22=0` touch each other. Also obtain the equaitons of the two circles, each of radius 1, cutting both these circles orthogonally.

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Show that the circles x^2 + y^2 + 2x-8y+8=0 and x^2 + y^2 + 10x - 2y+ 22=0 touch each other. Also obtain the equations of the two circles, each of radius 1, cutting both these circles orthogonally.

Show that the circles x^2 + y^2 - 2x-6y-12=0 and x^2 + y^2 + 6x+4y-6=0 cut each other orthogonally.

If the circles x^2+y^2+2x-8y+8=0 and x^2+y^2+10x-2y+22=0 touch each other find their point of contact

Prove that the circle x^2 + y^2 =a^2 and (x-2a)^2 + y^2 = a^2 are equal and touch each other. Also find the equation of a circle (or circles) of equal radius touching both the circles.

Show that the circles x ^(2) + y ^(2) - 2x =0 and x ^(2) + y ^(2) - 8x + 12=0 touch each other externally. Find the point of contact.

If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = 0 touch each other , then a =

Prove that the circle x^(2)+y^(2)+2x+2y+1=0 and circle x^(2)+y^(2)-4x-6y-3=0 touch each other.

Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y - 4 = 0

A DAS GUPTA-Circles-EXERCISE
  1. Show that the circles x^2 + y^2 + 2x-8y+8=0 and x^2 + y^2 + 10x - 2y+ ...

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  2. Find the equation of a circle whose diameter has the length 20 and the...

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  3. Find the equations of the circles touching y-axis at (0,3) and making ...

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  4. Find the equation of the circle which passes through the points (1,-2)...

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  5. The abscissa of the two points A and B are the roots of the equation x...

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  6. Let A = (0,1) and B=(-p/2,(q+1)/2) be two fixed points in a plane. Let...

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  7. Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

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  8. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

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  9. Prove that the circles x^2 + y^2-9 = 4r^2,r = 1,2,3 cut off equal int...

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  10. Determine all those values of p in R for which two chords can be drawn...

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  11. A circle of radius 2 lies in the first quadrant and touches both the a...

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  12. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

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  13. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

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  14. Prove that x^2+y^2=a^2 and (x-2a)^2+y^2=a^2 are two equal circles touc...

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  15. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

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  16. Find the area of equilateral triangle inscribed in a circle x^2+y^2+2g...

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  17. Find the area of the triangle formed by the tangents from the point (4...

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  18. Find the equations of the circles passing through the point (-4,3) and...

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  19. The equation of one of the circles which touch the pair of lines x^2 -...

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  20. Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...

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  21. Find the equation of the circle passing through the points A(4,3). B(...

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