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Find the parametric equations of the cir...

Find the parametric equations of the cirlces
(i) `x^(2)+y^(2)=1`
(ii) `x^(2)+y^(2)-4x+6y-12=0`
(iii) `4(x^(2)+y^(2))=9`
(iv) `2x^(2)+2y^(2)=7`
(v) `(x-3)^(2)+(y-4)^(2)=8^(2)`

Text Solution

Verified by Experts

The correct Answer is:
` x= 2+ 5 cos theta , y =-3 + 5 sin theta) `
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AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. Find the locus of P if the tangents drawn from P to x^(2) + y^(2) =...

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  2. From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are draw...

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  3. Find the parametric equations of the cirlces (i) x^(2)+y^(2)=1 (ii)...

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  4. Obtain the parametric equation of each of the following circles. 4...

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  5. Obtain the parametric equation of each of the following circles. (...

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  6. If x=-1 + 5 cos theta , y = 2 + 5 sin theta , show that the locus of...

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  7. If the parametric values of two points A and B lying on the circle ...

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  8. Find the equation of the tangent at the point 30^(@) (parametric val...

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  9. Locate the position of the point P with respect to the circle S =0 whe...

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  10. Locate the position of the point P with respect to the circle S =0 whe...

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  11. Locate the position of the point P with respect to the circle S =0 whe...

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  12. Locate the position of the point P with respect to the circle S =0 whe...

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  13. Find the power of the point P w.r.t the circle S=0 when (i) P(1,2) a...

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  14. Find the power of the point P w.r.t. the circle S =0 when P(2,4) ...

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  15. Locate the position of the point P with respect to the circle S =0 whe...

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  16. Find the power of the point P w.r.t the circle S=0 when (i) P(1,2) a...

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  17. Find the power of the point P w.r.t. the circle S =0 when P(2,4) ...

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  18. Find the equation of the normal at P of the circle S = 0 where P a...

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  19. Find the equation of the normal at P of the circle S = 0 where P a...

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  20. Find the equation of the tangent and normal at (1, 1) to the circle...

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