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If m1,m2 are slopes of the tangents to...

If ` m_1,m_2 ` are slopes of the tangents to the hyperbola ` x^(2) //25 -y^(2) //16 =1` which pass through the point (6,2) then

A

` m_1+ m_2 =24//11`

B

` m_1+m_2 =48//11`

C

` m_1+m_2=28//11`

D

` mim_2 =11//20`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

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

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

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

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

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

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

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

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

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

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

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

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  13. Tangents to x^(2) //a^(2) -y^(2)//b^(2) =1 make angles theta1 ,thet...

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  14. Tangents drawn from (alpha , beta ) to the hyperbola x^(2) //a^(2) ...

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  15. The locus of the point of intersection of tangents to the hyperbola x^...

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  16. A line through the origin meets the circle x^(2) +y^(2) =a^(2) at P ...

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  17. The product of the perpendicular from the foci on any tangent to the h...

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  18. From any point on the hyperbola x^(2) -y^(2) =a^(2) -b^(2) two tange...

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  19. The equations to the common tangents to the two hyperbolas x^(2)//a^(2...

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  20. The equation of the common tangents drawn to the curves y^(2) =8x and...

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