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If y = 2x + c neither cuts the circle (x...

If `y = 2x + c` neither cuts the circle `(x - 2)^2 + (y - 3)^2 = 4` nor the ellipse `x^2 + 6y^2 = 6,` then the range of c is

A

`[-5,5]`

B

`(-oo, -5) uu (5,oo)`

C

`(-4,4)`

D

none of these

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The correct Answer is:
B
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FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. The intercept made by the auxiliary circle of the ellipse (x ^(2))/(a ...

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  2. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

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  3. If y = 2x + c neither cuts the circle (x - 2)^2 + (y - 3)^2 = 4 nor th...

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  4. If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, ...

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  5. The locus of the point of inter section of perpendicular chords passin...

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  6. If normal at any point P to the ellipse x^2/a^2+y^2/b^2=1(a > b) meets...

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  7. Given the ellipse (x ^(2))/(4) +y ^(2) =1, the point on the line x =2,...

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  8. If the sum of the slopes of the normals from a point P to the hyperbol...

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  9. The line 2x + y = 0 passes through the centre of a rectangular hyperbo...

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  10. If the portion of the asymptote between the cnetre and the tangent at ...

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  11. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

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  12. If the chords of contact of tangents from two points (-4,2) and (2,1) ...

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  13. The angle between the asymptotes of a hyperbola is 30^(@). The eccentr...

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  14. If (a,1/a) and (b,1/b) be the extremities of a chord on the hyperbola ...

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  15. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

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  16. IF xy =1 + sin ^(2) theta (thea is real parameter) be a family of rect...

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  17. The fouce of the rectangular hyperbola (x-h) (y-k) =p^(2) is

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  18. The chords (tx + my - 1) = 0 (t, m being parameters) of the curve x^2-...

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  19. If a rectangular hyperbola circum scribes a triangle, then it also pas...

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  20. The area of the triangle with vertices (a, 0), (a cos theta, b sin the...

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