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Two tangents OA and OB are drawn to the circle `x^(2)+y^(2)+4x+6y+12=0` from origin O. The circumradius of `DeltaOAB` is :

A

`(1)/(2)`

B

1

C

2

D

`(1)/(2)sqrt(13)`

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The correct Answer is:
D
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ML KHANNA-THE CIRCLE -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. A circle passes through the point (-1,7) and touches the line y = x at...

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  2. The equation of a circle which has its centre on the positive side of ...

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  3. The locus of the point of intersection of tangents to the circle x=a c...

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  4. If the tangent from a point P to the circle x^(2)+y^(2) = 1 is perpen...

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  5. The locus of the point of intersection of tangents to the circle x^(2)...

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  6. The locus of the midpoint of the chord of the circle x^2 + y^2 =4 whic...

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  7. If theta(1), theta(2) be the inclination of tangents with x-axis draw...

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  8. Locus of a point from which perpendicular tangents can be drawn to the...

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  9. Tangents are drawn from the point (17, 7) to the circle x^(2)+y^(2)=16...

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  10. A chord AB of circle x^(2) +y^(2) =a^(2) touches the circle x^(2) +y^(...

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  11. If the line x cos alpha+y sin alpha=p and the circle x^(2)+y^(2)=a^(2)...

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  12. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. E...

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  13. The length of tangent from the point(1, 2) to the circle 2x^(2)+2y^(2...

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  14. The area of the triangle formed by +ive x-axis and the normal and tang...

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  15. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  16. The circles x^(2)+y^(2)+2x-4y+4=0 and x^(2)+y^(2)-2x-4y+4=0 are such t...

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  17. The length of the chord joining the points ( 4cos theta , 4 sin theta ...

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  18. If the circle x^(2)+y^(2)+2gx+2fy+c=0 is touched by y=x at P such th...

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  19. Two tangents OA and OB are drawn to the circle x^(2)+y^(2)+4x+6y+12=0 ...

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  20. Tangents are drawn to the circle x^(2)+y^(2) = 25 from the point (13,...

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