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Statement 1 : If the circle with center ...

Statement 1 : If the circle with center `P(t ,4-2t),t in R ,` cut the circles `x^2+y^2=16` and `x^2+y^2-2x-y-12=0` , then both the intersections are orthogonal. Statement 2 : The length of tangent from `P` for `t in R` is the same for both the given circles.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  7. Column I|Column II If the circle lies in the first quadrant, the...

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  8. Find the number of point (x ,y) having integral coordinates satisfying...

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  11. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , th...

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  14. Two circles with radii a and b touch each other externally such that t...

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  15. From the variable point A on circle x^2+y^2=2a^2, two tangents are dra...

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  16. Two fixed circles with radii r1 and r2,(r1> r2) , respectively, touch ...

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  17. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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