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Tangents drawn from the point P(1,8) to ...

Tangents drawn from the point `P(1,8)` to the circle `x^2 +y^2 -6x -4y-11=0` touch the circle at the points A&B ifR is the radius of circum circle of triangle PAB then [R]-

A

`x^(2)+y^(2)+4x-6y+19=0`

B

`x^(2)+y^(2)-4x-10y+19=0`

C

`x^(2)+y^(2)-2x+6y-29=0`

D

`x^(2)+y^(2)-6x-4y+19=0`

Text Solution

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The correct Answer is:
B
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Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is (A) x^(2)+y^(2)+4x-6y+19=0 (B) x^(2)+y^(2)-4x-10y+19=0 (B) x^(2)+y^(2)-2x+6y-29=0 (D) x^(2)+y^(2)-6x-4y+19=0

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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
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  8. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

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  9. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

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  10. The locus of the middle point of the chord of contact of tangents draw...

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  11. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  12. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  13. The length of the diameter of the circle which touches the x-axis at ...

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  14. The circle passing through (1, -2) and touching the axis of x at (3...

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  15. Circle(s) touching x-axis at a distance 3 from the origin and having a...

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  16. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

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  17. A circle S passes through the point (0, 1) and is orthogonal to the ci...

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  18. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...

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

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  20. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

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