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Find the equation of the circle which pa...

Find the equation of the circle which passes through the origin, meets the x-axis orthogonally & cuts the circle `x^(2) + y^(2) = a^(2)` at an angle of `45^(@)`.

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The correct Answer is:
`x^(2) + y^(2) +- asqrt(2)x = 0`
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

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  2. Find the equation of the circle passing through the point (– 6, 0) if ...

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  3. Find the equation of the circle which passes through the origin, meets...

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  4. Determine the nature of the quadrilateral formed by four lines 3x+4y ...

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  5. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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  6. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  7. Find the equations of straight lines which pass through the intersecti...

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  8. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  9. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  10. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  11. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  12. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  13. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  14. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  15. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  16. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

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  17. Consider a circles S with centre at the origin and radius 4. Four circ...

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  18. Obtain the equations of the straight lines passing through the point A...

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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. Consider a family of circles passing through two fixed points A (3,7) ...

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