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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= (3)/(2) cos theta , y =(3)/(2) sin theta`
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AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. Find the equation of the circle with centre (-3, 4) and touching y-...

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  2. Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(...

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  3. If 4-3y+7 = 0 is a tangent ot the circle repesented by x^(2) + y^(2)...

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  4. Prove that the tangent at (3,-2) of the circle x^(2) + y^(2) = 13 ...

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  5. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  6. Find the equation of the circle passing through (-1,0) and touching ...

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  7. Fing the length of tangent from P to the ltbr., circle S = 0 when P ...

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  8. Fing the length of tangent from P to the ltbr., circle S = 0 when P=...

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  9. Fing the length of tangent from P to the ltbr., circle S = 0 when P ...

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  10. If the length of the tangent from (5,4) to the circle x^(2) + y^(2) ...

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  11. If a point P is moving such that the lengths of the tangents drawn f...

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  12. If the lengths of the tangents drawn from P to the circles x^(2)+y^(2)...

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  13. Find the locus of P if the tangents drawn from P to x^(2) + y^(2) =...

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

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  15. Find the parametric equations of the circles x^(2) + y^(2) - 4x + 6...

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

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

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

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

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

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