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To the circle x^(2)+y^(2)=4, two tangent...

To the circle `x^(2)+y^(2)=4`, two tangents are drawn from `P(-4,0)`, which touch the circle at `T_(1)` and `T_(2)` . A rhomus `PT_(1)P'T_(2)` s completed.
If P is taken to be at (h,0) such that P' lies on the circle, the area of the rhombus is

A

`2:1`

B

`1:2`

C

`sqrt(3) : 2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
4
Clearly, `PT_(1)PT_(2)` is rhombus
So, area of `Delta PT_(1)P'` and that of `Delta P'T_(1)T_(2)` are same.
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CENGAGE-CIRCLE -Exercise (Comprehension)
  1. P is a variable point on the line L=0 . Tangents are drawn to the circ...

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  2. To the circle x^(2)+y^(2)=4, two tangents are drawn from P(-4,0), whic...

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  3. To the circle x^(2)+y^(2)=4, two tangents are drawn from P(-4,0), whic...

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  4. To the circle x^(2)+y^(2)=4, two tangents are drawn from P(-4,0), whic...

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  5. Let alpha chord of a circle be that chord of the circle which subtends...

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  6. Let alpha chord of a circle be that chord of the circle which subtends...

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  7. Let alpha chord of a circle be that chord of the circle which subtends...

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  8. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  9. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  10. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  11. Give two circles intersecting orthogonally having the length of common...

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  12. Give two circles intersecting orthogonally having the length of common...

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  13. Give two circles intersecting orthogonally having the length of common...

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  14. In the given figure, there are two circles with centers A and B. The c...

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  15. In the given figure, there are two circles with centers A and B. The c...

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  16. In the given figure, there are two circles with centers A and B. The c...

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  17. Let each of the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(1)-= x^(2)+y^(2...

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  18. Let each of the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(1)-= x^(2)+y^(2...

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  19. Let each of the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(1)-= x^(2)+y^(2...

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  20. The line x + 2y = a intersects the circle x^2 + y^2 = 4 at two distinc...

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