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about to only mathematics

A

6

B

12

C

`6sqrt(2)`

D

`12-4sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
4
Given circle `(x-1)^(2)+(y+2)^(2)=16`
Its director circle is
`(x-1)^(2)+(y+2)^(2)=32`
`:. OS =4 sqrt(2)`

Therefore, required distance,
`TS=OT-SO=12-4sqrt(2)`
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CENGAGE-CIRCLE -Exercise (Single)
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  2. From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn...

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  4. A straight line moves such that the algebraic sum of the perpendicular...

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  5. If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a ...

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  6. 18) A light ray gets reflected from the x=-2. If the reflected ray tou...

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  7. A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric...

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  8. The greatest integral value of a such that sqrt( 9 - a^2 + 2x - x^2) >...

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  9. The chords of contact of tangents from three points A ,Ba n dC to the ...

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  10. The chord of contact of tangents from a point P to a circle passes thr...

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  11. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  12. Tangents PA and PB are drawn to the circle x^(2) +y^(2) = 8 from any a...

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  13. A circle with radius |a| and center on the y-axis slied along it and a...

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  14. Consider a circle x^2+y^2+a x+b y+c=0 lying completely in the first qu...

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  15. The squared length of the intercept made by the line x=h on the pair o...

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  16. Let A B be chord of contact of the point (5,-5) w.r.t the circle x^2+y...

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  17. Two congruent circles with centered at (2, 3) and (5, 6) which inter...

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  18. The distance from the center of the circle x^2+y^2=2x to the common ch...

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  19. A circle C1, of radius 2 touches both x-axis and y- axis. Another circ...

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  20. Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a famil...

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