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A variable circle always touches the lin...

A variable circle always touches the line y-x=0 and passes though the point (0,0), the common chords of above cirlce and `x^2+y^2+6x+8y-7=0` will pass through fixed point , whose coordinates are

A

(1, 1)

B

(2, 2)

C

`((1)/(2), (1)/(2))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE CIRCLE -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

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  2. Equation of a circle touching the line |x-2| +|y-3|=4 is (x-2)^(2)+(y...

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  3. A variable circle always touches the line y-x=0 and passes though the ...

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  4. A circle passes through the point (-1,7) and touches the line y = x at...

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  5. The equation of a circle which has its centre on the positive side of ...

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  6. The locus of the point of intersection of tangents to the circle x=a c...

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  7. If the tangent from a point P to the circle x^(2)+y^(2) = 1 is perpen...

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  8. The locus of the point of intersection of tangents to the circle x^(2)...

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  9. The locus of the midpoint of the chord of the circle x^2 + y^2 =4 whic...

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  10. If theta(1), theta(2) be the inclination of tangents with x-axis draw...

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  11. Locus of a point from which perpendicular tangents can be drawn to the...

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  12. Tangents are drawn from the point (17, 7) to the circle x^(2)+y^(2)=16...

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  13. A chord AB of circle x^(2) +y^(2) =a^(2) touches the circle x^(2) +y^(...

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  14. If the line x cos alpha+y sin alpha=p and the circle x^(2)+y^(2)=a^(2)...

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  15. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. E...

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  16. The length of tangent from the point(1, 2) to the circle 2x^(2)+2y^(2...

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  17. The area of the triangle formed by +ive x-axis and the normal and tang...

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

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  19. The circles x^(2)+y^(2)+2x-4y+4=0 and x^(2)+y^(2)-2x-4y+4=0 are such t...

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  20. The length of the chord joining the points ( 4cos theta , 4 sin theta ...

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