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Find the intervals of the values of a fo...

Find the intervals of the values of `a` for which the line `y+x=0` bisects two chords drawn from the point `((1+sqrt(2)a)/2,(1-sqrt(2)a)/2)` to the circle `2x^2+2y^2-(1+sqrt(2)a)x-(1-sqrt(2)a)y=0`

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The correct Answer is:
`a in (- oo, -2) uu ( 2, oo )`
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VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. The equation of the tangents drawn from the origin to the circle x^(2)...

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  2. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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  3. The chords of contact of the pair of tangents drawn from each point on...

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  4. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

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  5. Find the area of the triangle formed by the tangents from the point (4...

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  6. about to only mathematics

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  7. about to only mathematics

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  8. 8 TePR2 p? 4x- 2) 11 = 0 be a circle. A pall or tangents from the poin...

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  9. From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1. The...

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  10. about to only mathematics

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  11. about to only mathematics

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  12. C(1) and C(2) are two concentric circles, the radius of C(2) being tw...

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  13. Find the intervals of the values of a for which the line y+x=0 bisects...

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  14. Let a circle be given by 2x(x-1)+y(2y-b)=0,(a!=0,b!=0) . Find the cond...

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  15. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

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  16. Through a fixed point (h,k), secant are drawn to the circle x^(2)+y^(2...

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  17. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

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  18. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

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  19. A line y=mx+1 meets the circle (x-3)^(2)+(y+2)^(2)=25 at point P and Q...

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  20. let the point B be the reflection of the point A(2,3) with respect to ...

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