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Equation of the diameter of the circle x...

Equation of the diameter of the circle `x^2+y^2-2x+4y=0` which passes through the origin is `x+2y=0` b. `x-2y=0` c. `2x+y=0` d. `2x-y=0`

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To find the equation of the diameter of the circle given by the equation \( x^2 + y^2 - 2x + 4y = 0 \) that passes through the origin, we can follow these steps: ### Step 1: Rewrite the Circle Equation The given equation of the circle is: \[ x^2 + y^2 - 2x + 4y = 0 \] We can rearrange this equation to identify the center and radius of the circle. ...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
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  2. Write the coordinates of the centre of the circle passing through (...

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  5. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

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  7. Write the equation of the circle passing through (3,4) and touching ...

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  8. If the line y=m x does not intersect the circle (x+10)^2+(y+10)^2=180 ...

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  9. Write the coordinates of the center of the circle inscribed in the s...

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  10. The equation x^2+y^2+2x-4y+5=0 represents a. a point b. a pair of s...

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  11. If the equation (4a-3)x^2+a y^2+6x-2y+2=0 represents a circle, then it...

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  12. If the centroid of an equilateral triangle is (1,1) and its one vertex...

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  13. The equation of the incircle formed by the coordinate axes and the lin...

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  14. The equation of a circle with radius 5 and touching both the coordinat...

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  15. The equation of the circle passing through the origin which cuts of ...

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  16. The area of an equilateral triangle inscribed in the circle x^2+y^2-6x...

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  17. If the circles y^2=a\ a n d\ x^2+y^2-6x-8y+9=0 touch externally then a...

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  18. If (x ,3)a n d\ (3,5) are the extremities of a diameter of a circle wi...

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  19. Equation of the diameter of the circle x^2+y^2-2x+4y=0 which passes th...

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  20. Equation of the circle through origin which cuts intercepts of length ...

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