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The sum and product of the slopes of the...

The sum and product of the slopes of the tangents to the hyperbola `x^(2)/4-y^(2)/2=1` drawn from the point (3,-2) are

A

`(-12)/(5), 6/5`

B

`(12)/(5), 6/5`

C

`(11)/(4), 7/3`

D

`(-12)/(5), 8/5`

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The correct Answer is:
A
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AAKASH SERIES-HYPERBOLA-Practice Exercise
  1. The equations of the tangents to the hyperbola 2x^(2) -3y^(2) =6 whic...

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  2. The number of tangents to x^(2)//25-y^(2)//9=1 through (5,0) is

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  3. The sum and product of the slopes of the tangents to the hyperbola x^(...

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  4. The slopes of the tangents drawn form (0,2) to the hyperbola 5x^(2)-y^...

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

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  6. The condition that the line y=mx+c may be a tangent to (y^(2))/(a^(2))...

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

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  8. The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 ...

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  9. The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2)//9...

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  10. The equation of the normal to the hyperbola x^(2)-4y^2=5 at (3,-1) is

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  11. Tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles theta...

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  12. Tangents are drawn to 3x^(2)-2y^(2)=6 from a point P. If the product o...

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  13. The chords of contact al P.w.r.t. x^(2)-y^(2)=a^2 and x^(2)+y^(2)=a^(2...

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  14. The equation to the common tangent to the hyperbolas (x^(2))/(25)-y^(2...

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  15. The point of intersection of two tangents to hyperbola x^(2)/a^(2)-y^(...

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  16. The locus of the midpoints of chords of the hyperbola 3x^(2)-2y^(2)+4x...

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  17. The mid point of the chord x+2y+3=0 of the hyperbola x^(2)-y^(2)=4 is

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  18. The equation of the tangent to the hyperola x^(2)/9-y^(2)/4=1 at the p...

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  19. Equation of normal to x^(2)-4y^(2)=5 at theta=45^(@) is

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  20. The equation of asymptotes of the hyperbola 4x^(2)-9y^(2)=36 is

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