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Find the equation of the circle which to...

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

A

a)`x^2+y^2-3y+1=0`

B

b)`x^2+y^2+3y+1=0`

C

c)`4(x^2+y^2)+10x+7y-9=0`

D

d)`4(x^2+y^2)-10x-7y+9=0`

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A DAS GUPTA-Circles-EXERCISE
  1. If a circle passes through the point (a, b) and cuts the circle x^2 +y...

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  2. For any lambda in R, the locus x² + y² - 2lambdax - 2lambday +lambda²=...

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  3. Find the equation of the circle which touch the line 2x-y=1 at (1,1) a...

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  4. The circle for which the points (am^2,2am) and (a/m^2, (-2a)/m) are th...

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  5. The radius of the circle passing through the point (6,2) and having x ...

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  6. A circle passes through point (3, sqrt(7/2)) and touches the line-pai...

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  7. The angle between a pair of tangents from a point P to the circe x^2 +...

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  8. Let AB be a line segment of length 4 with A on the line y = 2x and B o...

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  9. The locus of the centre of a circle which touches externally the circl...

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  10. Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...

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

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  12. The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

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  13. The lines 2x+3y+19=0 and 9x+6y-17=0 , cut the coordinate axes at concy...

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  14. The area of an equilateral triangle inscribed in the circle x^2 + y^2-...

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  15. The range of values of a such that the angle theta between the pair of...

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  16. Let A-=(-1,0),B-=(3,0), and P Q be any line passing through (4, 1) hav...

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  17. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

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  18. The equation of radical axis of two circles is x + y = 1. One of the ...

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  19. Find the locus of the centers of the circles x^2+y^2-2x-2b y+2=0 , whe...

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  20. The range of parameter ' a ' for which the variable line y=2x+a lies b...

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