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Consider a family of circles which are p...

Consider a family of circles which are passing through the point (-1,1) and are tangent to x-axis. If (h,k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the internal.

A

`0 lt k lt 1/2`

B

`k ge 1/2`

C

`-1/2 le k le 1/2`

D

`k le 1/2`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. The equation of the circle passing through the point (1,-2) and having...

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  2. The equation of the circles which touch the y-axis at a distance 4from...

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  3. Consider a family of circles which are passing through the point (-1,1...

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  4. A variable circle passes through the fixed point (2,0) and touches the...

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  5. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

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  6. O is the origin and OA, OB are a pair of tangents to the x^(2)+y^(2)+2...

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  7. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  8. Tangents PA and PB are drawn from P(a,b) to the circle x^(2)+y^(2)=r^(...

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  9. A circle touches x-axis and cuts off a constant length 2l from the y-a...

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  10. A circle passes through P(a,b) and touches the x-axis. The locus of th...

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  11. A rod PQ of length 2a sides with its ends on the axes the locus of the...

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  12. If O=(0,0), A=(1,0) and B=(1//2, sqrt3//2) then the centre of the circ...

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  13. If a chord of the circle x^(2)+y^(2)=8 makes equal intercepts of lengt...

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  14. The circle x^(2)+y^(2)-4x+4y-1=0 cuts the positive coordinate axes in ...

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  15. The interval in which the value of lambda should lie if the line 3x-4y...

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  16. The line x+y=1 cuts the coordinate axes at P and Q and a line perpendi...

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  17. Let x( x-a) + y (y-1) =0 be a circle. If two chords from (a,1) bisec...

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  18. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

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  19. The point of contact of the line 3x-4y-25=0 with the circle x^(2)+y^2=...

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

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