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Consider the two circles C(1):x^(2)+y^(2...

Consider the two circles `C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb)` Let A be a fixed point on the circle `C_(1)`, say A(a,0) and B be a variable point on the circle `C_(2)`. The line BA meets the circle `C_(2)` again at C. 'O' being the origin.
If `(BC)^(2)` is maximum, then the locus of the mid-piont of AB is

A

`(x-(a)/(2))^(2)+y^(2)=(b^(2))/(4)`

B

`(x-(a)/(2))^(2)+y^(2)=(a^(2))/(4)`

C

`(x-(b)/(2))^(2)+y^(2)=(a^(2))/(4)`

D

`(x-(b)/(2))^(2)+y^(2)=(b^(2))/(4)`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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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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