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Statement-I: The number of integral valu...

Statement-I: The number of integral values of K for which the equation `(x^(2))/(3K-2) +(y^(2))/(K-10)=1` represents a hyperbola is 10.
Statement-II : The above equation represents a rectangular hyperbola for K =3.
Which of above statements is true

A

only I

B

only II

C

both I and II

D

neither I nor II

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-HYPERBOLA-Exercise -II
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  2. If the equation (10x-5)^(2)+(10y 4)^(2)=lambda^(2) (3x+4y-1)^(2) repre...

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  3. Statement-I: The number of integral values of K for which the equation...

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  4. The equation of the director circle of x^(2)//12-y^(2)//8=1 is

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  5. If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b...

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

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  7. The locus of the point of Interection of two tangents to the hyperbola...

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  8. Locus of P such that the chord of contact of P with respect to y^2= 4a...

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  9. 3x+4y-7=0 is normal to 4x^(2)-3y^(2)=1 at the point

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  10. The mid point of the chord 4x-3y=5 of the hyperbola 2x^(2)-3y^(2)=12 i...

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  11. If alpha and beta are two points on the hyperbola x^(2)/a^(2)-y^(2)/b^...

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  12. If the intercepts made by tangent, normal to a rectangular hyperbola x...

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  13. If the normal at theta on the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 me...

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  14. If the l x+ my=1 is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/...

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  15. The locus of the point of intersection of the tangents at the ends of ...

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  16. The locus of middle points of normal chords of the rectangular hyperbo...

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  17. The maximum number of normals to hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 f...

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  18. The product of lengths of the perpendiculars from the point of the hyp...

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  19. The product of lengths of the perpendiculars from the point of the hyp...

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  20. The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 i...

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