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ALLEN-TEST PAPERS-part-2 Mathematics
- If f:C→C is defined by f(x)=x^4 then find f^(-1){1}.
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- Prove that the function f defined by f(x)=x^2−x+1 is neither increasin...
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- If sinΘ+cosec Θ=2 find the value of cotΘ+cosΘ
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- If 2sin^(-1)((9-4x^(2))/(9+4x^(2)))+3cos^(-1)((12x)/(9+4x^(2)))+tan^(-...
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- The value of cos1^o.cos2 ^o.cos3^o.....cos179^o is equal to
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- If A=15 deg, verify that 4sin2A.cos4A.sin6A=1
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- If cos(α+β)=0 , then sin(α−β), can be reduced to
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- A(x(1),y(1)) and B(x(2),y(2)) are any two distinct points on the parab...
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- If f:R rarr R is continous function satisying f(0) =1 and f(2x) -f(x)...
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- Consider the parabola y^(2)=8x, if the normal at a point P on the par...
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- If sinθ1+sinθ 2 +sinθ 3=3, then cosθ 1+cosθ 2+cosθ3 is equal to
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- The equations of the transverse and conjugate axes of a hyperbola are...
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- Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...
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- Let f(x) = x^(2) - 5x + 6, g(x) = f(|x|), h(x) = |g(x)| The set of v...
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- If θ is an acute angle and tanθ+cotθ=2 , find the value of tan^7θ...
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- Find the least value of k such that the equation (ln x) + k = e^(x-k) ...
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- Volume of tetrahedron formed by the planes x+y=0, y+z=0, z+x=0,x+y+z-1...
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- If f' ((x)/(y)). f((y)/(x))=(x^(2)+y^(2))/(xy) AA x,y in R^(+) and f(1...
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- Range of the function f defined by (x) =[(1)/(sin{x})] (where [.] an...
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- The vlaue of sqrt3cot20^(@)-4cos20^(@), is
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