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Find the equation of the circle which pa...

Find the equation of the circle which passes through the origin and cuts off intercepts `3 and 4` from the positive parts of the axes respectively.

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To find the equation of the circle that passes through the origin and cuts off intercepts of 3 and 4 from the positive parts of the axes, we can follow these steps: ### Step 1: Understand the intercepts The x-intercept is 3, which means the circle passes through the point (3, 0). The y-intercept is 4, which means the circle passes through the point (0, 4). Additionally, the circle also passes through the origin (0, 0). ### Step 2: General equation of the circle The general equation of a circle can be expressed as: \[ ...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
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  2. Find the equation of the circle which touches the x-axis and passes t...

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  3. Find the equation of the circle which passes through the origin and ...

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  4. Find the equation of the circle whose centre is at (3,-1) and which...

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  7. Find the equation of a circle whose diameters are 2x-3y+12a n dx+4y-5=...

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  8. Find the equation of a circle of radius 5 whose centre lies on x-axis ...

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  9. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

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  10. Find the equation of the circle is (2,-3) and radius is 8.

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  11. Find the equation of the circle which passes through the point of i...

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  12. Find the equation of the circle having centre at (3,-4) and touching t...

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  13. Find the circle and radius of the circle given by the equation 2x^2...

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  14. If the line 2x-y+1=0 touches the circle at the point (2,5) and the cen...

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  15. Find the equation of the circle concentric with the circle 2x^2+2y^...

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  16. Find the equation of a circle whose centre is (2,-3) and radius 5.

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  17. If the equations of the two diameters of a circle are x-y=5\ and \ 2x+...

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  18. Find the equation of the circle which passes through two points on the...

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  19. A circle of radius 6 units touches the coordinates axes in the first ...

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  20. Show that the equation of the circle which touches the coordinates axe...

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