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If a line through P(-2,3) meets the circ...

If a line through P(-2,3) meets the circle `x^(2)+y^(2)-4x+2y+k=0` at A and B such that PA.PB=31 then the radius of the circles is

A

1

B

2

C

3

D

4

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. If the lines 2x+3y+1=0, 6x+4y+1=0 intersect the co-ordinate axes in 4 ...

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  2. Two rods of legths a and b slide along coordinate axes. Such that thei...

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  3. If a line through P(-2,3) meets the circle x^(2)+y^(2)-4x+2y+k=0 at A ...

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  4. The locus of centre of a circle which passes through the origin and cu...

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  5. Equation of circle with centre (3,-1) and which cuts off a chord of le...

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  6. If the line 3x-4y=lamda cuts the circle x^(2)+y^(2)-4x-8y-5=0 in two p...

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

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  8. If the chord y=mx+1 of the circle x^(2)+y^(2)=1 subtends an angle of m...

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  9. The triangle PQR is incribed in the circle x^(2)+y^(2)=25.If Q=(3,4) a...

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  10. The radius of circle having centre at (2,1) and whose on of the chord ...

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  11. The locus of th point (l,m). If the line lx+my=1 touches the circle x^...

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  12. Equation of the tangent to the circle x^(2)+y^(2)-2x+4y-4=0 which is p...

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  13. Locus of point of intersection of tangents to the circle x^(2)+y^(2)=a...

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  14. The slope m of a tangent through the point (7,1) to the circle x^(2)+y...

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  15. The tangents at (5,12) and (12,-5) to the circle x^(2)+y^(2)=169 are

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  16. Tangents AB and AC are drawn to the circlex^(2)+y^(2)-2x+4y+1=0 from A...

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  17. The angle between the tangents to the circle with centre (4,5) drawn f...

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  18. Angle between tangents drawn from a points P to circle x^(2)+y^(2)-4x-...

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  19. Locus of the point of intersection of tangents to the circle x^(2)+y^...

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  20. The angle between a pair of tangents drawn from a point P to the circl...

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