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Consider two curves E, P as E : x^2/9+y...

Consider two curves E, P as `E : x^2/9+y^2/8=1 and P : y^2=4x` on the basis of above answer the following Let m be the slope of a line which is tangent to both E & P then

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Comprehension 1 Let a^((log)_b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ are parameters. On the basis of above information, answer the following questions: If a=2\ x=a^((log)_5 25)&\ c=sqrt(2) , then b is- a. 2 b. \ 16 c. \ 12 d. 2

ALLEN -TEST PAPERS-part-2 Mathematic
  1. Consider a hyperbola H : x^(2)-y^(2) =k and a parabola P:y=x^(2) then ...

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  2. Let AB be a chord of the parabola x^(2) = 4y. A circle drawn with AB a...

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  3. Let two paraboles have a common axis where focus of each being exterio...

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  4. The coordinates of focus of a parabola which touches x=1, y=1, x+2y=...

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  5. The circle centered at origin is inscribed in the parabola y = x^(2) -...

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  6. Let sec ^(2)((pi)/(9))+sec^(2)((2pi)/(9))+sec(2)((4pi)/(9))=S and S...

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  7. Consider the equation sectheta+ cottheta = 31/12 On the basis of ab...

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  8. Consider the equation sectheta+ cottheta = 31/12 On the basis of abo...

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  9. Consider the equation sectheta+ cottheta = 31/12 On the basis of abo...

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  10. Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12...

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  11. Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12...

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  12. Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12...

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  13. Consider two curves E, P as E : x^2/9+y^2/8=1 and P : y^2=4x on the ...

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  14. Two lines are drawn at right angles one being a tangent to y^(2) = 12x...

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  15. Let (alpha,beta) be the focus of x^(2) + 2xy +1 -y^(2) then 12beta + 4...

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  16. Area of the triangle formed by the pair of tangents drawn form (1,1) t...

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  17. Consider an ellipse 4x^(2)=52-13y^(2) and a variable point P on the li...

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