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A tangent PT is drawn to the circle x^2 ...

A tangent PT is drawn to the circle `x^2 + y^2= 4` at the point `P(sqrt3,1)`. A straight line L is perpendicular to PT is a tangent to the circle `(x-3)^2 + y^2 = 1` Common tangent of two circle is: (A) `x=4` (B) `y=2` (C) `x+(sqrt3)y=4` (D) `x+2(sqrt2)y=6`

A

`x-sqrt3y=1`

B

`x+sqrt3y=1`

C

`x-sqrt3y=-1`

D

`x+sqrt3y=5`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  2. If P and Q are the points of intersection of the circles x^2+""y^2+...

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  3. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  4. The circle passing through the point (-1,0) and touching the y-axis at...

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  5. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If one of the diameters of the circle, given by the equation, x^2+y^2-...

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  19. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

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  20. For how many values, of p, the circle x^2+y^2+2x+4y-p=0 and the coordi...

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