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ALLEN-TEST PAPERS-part-2 Mathematic
- Consider a hyperbola H : x^(2)-y^(2) =k and a parabola P:y=x^(2) then ...
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- Let AB be a chord of the parabola x^(2) = 4y. A circle drawn with AB a...
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- Let two paraboles have a common axis where focus of each being exterio...
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- The coordinates of a point on the parabola y^2 =8x whose focal dis...
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- The circle centered at origin is inscribed in the parabola y = x^(2) -...
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- Find the general solution of sec4θ−sec2θ=2.
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- Solve: tan2x−tan3x=0
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- Consider the equation sectheta+ cottheta = 31/12 On the basis of abo...
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- Consider the equation sectheta+ cottheta = 31/12 On the basis of abo...
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- Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12...
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- Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12...
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- Show that 2sin^2 (π/6) +cosec^2(7π/6)cos^2(π/3)= 3/2
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- 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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- cosA/(1−sinA) =
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- Two lines are drawn at right angles one being a tangent to y^(2) = 12x...
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- Let (alpha,beta) be the focus of x^(2) + 2xy +1 -y^(2) then 12beta + 4...
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- Area of the triangle formed by the pair of tangents drawn form (1,1) t...
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- Total number of solutions of sin^2x−sinx−1=0 in [−2π,2π] ...
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