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The equation of the tangent to the circl...

The equation of the tangent to the circle `x^2 + y^2` + 4x - 4y + 4 = 0 which makes equal intercepts on the positive coordinate axes is:

A

`x+y=2`

B

`x+y=2 sqrt(2)`

C

`x+y=4`

D

`x+y=8`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The equation of the circle passing through the point (1, 1) and the po...

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  2. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

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  3. The slope of the tangent at the point (h, h) of the circle x^(2) + y^(...

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  4. How many common tangents can be drawn to the following circles x^(2)+...

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  5. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

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  6. A variable chord of the circle x^2 + y^2 - 2 ax = 0 is drawn through t...

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  7. One of the diameters of the circle x^(2)+y^(2)-12 x+4 y+6=0 is give...

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  8. The length of the common chord of the circle x^(2)+y^(2)+2 x+3 y+1...

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  9. For the given circleS x^(2)+y^(2)-6 x-2 y+1=0 and x^(2)+y^(2)+2 x-8 y...

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  10. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

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  11. The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 whi...

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  12. The equation of the circle which is touched by y=x has its centre on ...

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  13. Tangtnts drawn from the point (4,3) to the circle x^(2)+y^(2)-2 x-4 y...

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  14. If (x)/(alpha)+(y)/(beta)=1 touches the circle x^(2)+y^(2)=a^(2) then...

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  15. If a point (alpha, beta) lies on the circle x^(2)+y^(2)=1, then the l...

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  16. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

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  17. The equation of the circle described on the common chord of the circ...

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  18. The equation (x-x(1))(x-x(2))+(y-y(1))(y-y(2))=0 represents a circle ...

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  19. The locus of the centre of the circleS which touches both the axes is...

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  20. The equation of the circle which passes through the points of interse...

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