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Find the coordinates of the point at whi...

Find the coordinates of the point at which the circles `x^2+y^2-4x-2y+4=0` and `x^2+y^2-12 x-8y+36=0` touch each other. Also, find equations of common tangents touching the circles the distinct points.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let AB be a chord of the circle x^2+y^2=r^2 subtending a right angle a...

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  2. Let P Q and R S be tangent at the extremities of the diameter P R of...

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  3. Find the coordinates of the point at which the circles x^2+y^2-4x-2y+4...

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  4. Let A B be chord of contact of the point (5,-5) w.r.t the circle x^2+y...

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  5. Let P be any moving point on the circle x^2+y^2-2x=1. A B be the chord...

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  6. If eight distinct points can be found on the curve |x|+|y|=1 such that...

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  7. A circle of radius 5 units has diameter along the angle bisector of th...

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  8. A circle of radius 1 unit touches the positive x-axis and the positive...

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  9. The number of rational point(s) [a point (a, b) is called rational, if...

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  10. AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...

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  11. Two parallel tangents to a given circle are cut by a third tangent at ...

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  12. If the equation of any two diagonals of a regular pentagon belongs ...

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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. A B C D is a square of unit area. A circle is tangent to two sides of ...

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  15. Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respe...

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  16. A straight line with slope 2 and y-intercept 5 touches the circle x^2+...

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  17. A pair of tangents is drawn to a unit circle with center at the origin...

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  18. A line meets the coordinate axes at A and B . A circle is circumscribe...

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  19. A circle of constant radius a passes through the origin O and cuts the...

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  20. The equation of the line inclined at an angle of pi/4 to the x-axis ,s...

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