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ALLEN-TEST PAPERS-part-2 Mathematics
- 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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- Which of the following function is surjective but not injective. (a) ...
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- f:RrarrR is a function satisfying f(x+5)gef(x)+5 and f(x+1)lef(x)+1. ...
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- If f(x)=((1-tanx)/(1+sinx))^(cosec x) is to be made continuous at x=0,...
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- If a(1) is the greatest value of f(x) , where f(x) =((1)/(2+[sinx])) (...
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- The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...
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- Let f:N rarr N be a function that (i) x-f(x)=19[x/19]-90[f(x)/90], f...
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- The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a)[0,pi/2] (b) (0,pi/...
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- Let f:[-pi/3,(2pi)/3] rarr [0,4] be a function defined as f(x)=sqrt(3)...
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- If vec(alpha), vec(beta),vec(gamma) are three non-collinear unit vecto...
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- If the angle between the vectors a=hat(i)+cosxhat(j)+hat(k) and b=(sin...
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- Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b...
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- If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes eq...
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