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Consider the circle S: x^2 + y^2 - 4x-1=...

Consider the circle `S: x^2 + y^2 - 4x-1=0` and the line `L: y = 3x - 1`. If the line L cuts the circle at A & B. (i) Length of the chord AB equal (i) The angle subtended by the chord AB in the minor arc of S is (iii). Acute angle between the line L and the circle S is

A

`(pi)/(4)`

B

`(2pi)/(3)`

C

`(3pi)/(4)`

D

`(5pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-CIRCLE -Exercise (Passage Based Questions)
  1. Consider with circle S: x^2+y^2-4x-1=0 and the line L: y=3x-1. If the...

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  2. Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1. ...

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  3. Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1. ...

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  4. P is a variable point of the line L = 0. Tangents are drawn to the cir...

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  5. P is a variable point on the line L=0. Tangents are drawn to the circl...

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  6. P is a variable point on the line L=0. Tangents are drawn to the circl...

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  7. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

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  8. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

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  9. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

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

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

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  12. Given two circles intersecting orthogonally having the length of commo...

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  13. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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  14. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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  15. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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

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

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

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  19. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

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  20. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

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