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If each of the lines 5x+8y =13 and 4x -y...

If each of the lines `5x+8y =13 and 4x -y=3 ` contains a diameter of the circle `x^(2) +y^(2) -2 (a^(2) -7a +11) x -2(a^(2) -6a + 6 ) y+b^(3) +1= 0 ` then

A

` a= 5 and b in(-1,1) `

B

` a= 1 and b in (-1,1) `

C

` a=2 and b in (-infty ,1) `

D

` a= 5 and b in (- infty ,1 )`

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The correct Answer is:
D
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AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. If each of the lines 5x+8y =13 and 4x -y=3 contains a diameter of the...

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  2. If the lines (x+1)/(2) =(y-1)/( 1) =(z+1)/(3) and (x+2)/(2) =( y-k)/...

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  3. Let Q be the foot the perpendicular from the origin to the plane 4x-3y...

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  4. The angle between the lines whose direction cosines satisfy the equati...

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  5. If the lines L1 and L2 in space are defined by L1 = {x=sqrt lambda y+...

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  6. If the projection of a line segment on the x, y and z -axes in 3 dim...

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  7. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

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  8. The equation of a plane through the line of intersection of the planes...

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  9. Equation of a plane which passes through the point of intersection of ...

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  10. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

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  11. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

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  12. The plane containing the line (x-1)/(1) =(y-2)/( 2) =(z-3)/(3) and ...

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  13. A symmetrical form of the line of intersection of the planes x= ay +b...

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  14. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

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  15. Equation of the line of shortest distance between the lines (x)/(1) =...

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  16. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

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  17. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

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  18. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

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  19. The angle between the lines 2x =3y =-z and -6x =y =-4z is

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  20. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

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  21. A variable plane passes through a fixed point (1,-2,3) and meets the ...

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