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Find the equation of the circle, the coordinates of the end points of whose diameter are `(-1,2)a n d(4,-3)dot`

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To find the equation of the circle whose diameter endpoints are given as \((-1, 2)\) and \((4, -3)\), we can follow these steps: ### Step 1: Identify the endpoints of the diameter Let the endpoints of the diameter be: - \( (x_1, y_1) = (-1, 2) \) - \( (x_2, y_2) = (4, -3) \) ### Step 2: Use the equation of the circle with diameter endpoints ...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
  1. If a circle of constant radius 3c passes through the origin and meets ...

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  2. Find the equation to the circle which passes through the points (1,...

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  3. Find the equation of the circle, the coordinates of the end points ...

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  4. If the circles x^2+y^2+2a x+c=0a n dx^2+y^2+2b y+c=0 touch each other,...

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

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  6. The equation of the circle which touches the axes of coordinates an...

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  7. Find the equation of the circle which passes through the points (2,...

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  8. The number of integral values of lambda for which the equation x^2+y^2...

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  9. Find the equation of the circle which touches the lines 4x-3y+10=0a...

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  10. If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find t...

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  11. Find the equation of the circle having (1,-2) as its centre and passi...

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  12. Find the locus of the centre of the circle touching the line x+2y=0 ...

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  13. Let C be any circle with centre (0,sqrt(2))dot Prove that at most two ...

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  14. Find the equation of the circle which touches the x-axis and passes t...

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

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

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  17. A rectangle A B C D is inscribed in a circle with a diameter lying ...

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  18. Find the equation of a circle with origin as centre and which circu...

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

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

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