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Find the centre and radius radius of the following circles :
(i) `(x-1)^(2)+(y+2)^(2)=16`
(ii) `(x+2)^(2)+y^(2)=25`
(iii) `(x+p)^(2)+(y+q)^(2)=p^(2)+q^(2)`
(iv) `x^(2)+y^(2)=7`

Text Solution

Verified by Experts

The correct Answer is:
(i) C(1,-2), r=4 , (ii) C(-2,0), r=5
(iii) `C(-p,-q),r=sqrt(p^(2)+q^(2))`
(iv) `C(0,0)r=sqrt(7)`
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NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11A
  1. Find the equation of circle whose : (i) radius is 5 and centre is (3...

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  2. Find the centre and radius radius of the following circles : (i) (x-...

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  3. Find the equation of a circle passes through the origin and whose cent...

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  4. (i) Find the equation of a circle passes through the point (4,3) and w...

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  5. Find the equation of a circle passes through the point (1,-1) and whos...

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  6. Find the equation of a circle which touches the X-axis and whose centr...

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  7. Find the equation of a circle which touches the Y-axis and whose centr...

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  8. (i) Find the equation of a circle which touches both the axes and whos...

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  9. Find the centre and radius of each of the following circle : (i) x^(2)...

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  10. Find the diameter of the circle 2x^(2)+2y^(2)-6x-9=0.

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  11. Prove that the radii of the circles x^(2)+y^(2)=1,x^(2)+y^(2)-2x-4y-11...

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  12. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

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  13. Prove that the circles x^(2)+y^(2)+2ax+ay-3a^(2)=0andx^(2)+y^(2)-8ax-6...

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  14. If the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+aby+c=0 touch each o...

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  15. (i) Find the point at which the circle x^(2)+y^(2)-5x+2y+6=0, meets th...

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  16. (i) Find the equation of a circle concentric with the circle x^(2)+y^(...

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  17. Find the distance between the centres of the circles x^(2)-y^(2)+8x+10...

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  18. Find the equations of the circles the end points of whose diameter are...

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  19. The end points of a diameter of a circle are (1,-1) and (3,5). Find th...

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  20. Find the equation of a circle passes through the origin and cuts 'a' i...

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