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The values of m for which the line y =mx...

The values of m for which the line y =mx +2 become a tangent to the hyperbola ` 4x^(2) -9y^(2) =36` is

A

` +- (2)/(3) `

B

`+-(2sqrt2)/(3)`

C

`+-(8)/( 9) `

D

`+-( 4sqrt2)/( 3)`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The condition that the line (x)/(p) +(y)/( q) =1 to be a tangent to ...

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  2. In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ...

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  3. The values of m for which the line y =mx +2 become a tangent to the hy...

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  4. The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whic...

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  5. The equations of the tangents to the hyperbola 2x^(2) -3y^(2) =6 whic...

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  6. The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 ...

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  7. The equations of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whi...

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  8. The equations of the tangents to the hyperbola 4x^(2) -5y^(2) =20 wh...

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  9. Equation of one of the tangents passing through (2, 8) to the hyperbol...

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  10. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

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  11. The number of tangents to x^(2)//9 -y^(2) //4=1 through (6,2) is

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  12. If m1,m2 are slopes of the tangents to the hyperbola x^(2) //25 -y^...

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  13. The equations of the direcrtor cirlce of x^(2) //12 -y^(2)//8=1 is

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  14. The equations of the auxiliary circle of x^(2) //16-y^(2) //25 =1 is

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  15. The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2) /...

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  16. The tangents at a point P on x^(2)//a^(2) -y^(2)//b^(2) =1 cuts one ...

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  17. The locus of the point of interection of two tangents of the hyperbola...

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  18. The locus of the point of interection of two tangents of the hyperbola...

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  19. The locus of the point of intersection of two tangents to the hyperbol...

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  20. Tangents to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 make angle ...

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