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- Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then ...
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- Let z1 = 10 + 6i and z2 = 4 + 6i. If z is a complex number such that t...
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- The number of zeros at the end of 70!, is
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- Let the centre of the parallelepiped formed by vec P A= hat i+2 hat j...
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- A tangent is drawn to the curve y=8x^2 at a point A(x1, y1),w h e r ex...
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- If a, b, c are in GP, then the equations ax^2 +2bx+c = 0 and dx^2 +2ex...
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- Through the vertex "O" of the parabola y^2=4a x , variable chords O ...
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- The number of ways of arranging the letters A A A A A,BBB,C C C,D,E E&...
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- Find the least positive integer n such that ((2i)/(1+i))^n is a positi...
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- A parallelepiped is formed by planes drawn through the points (2,3,5)a...
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- If in a triangleABC , a = 6, b=3 and cos(A-B)=4/5 then find its area...
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- The centre of a square ABCD is at z0dot If A is z1 , then the centroid...
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- The logically equivalent proposition of phArrq is (p^^q)vv(p^^q) b. (p...
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- The plane x+2y+3z=7 is rotated about the line where it cut y z -plan...
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- The common roots of the equation z^3+2z^2+2z+1=0 and z^(1985)+z^(100)+...
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- The value of int1^(e^(37))(pi"sin"(piI nx))/x dx is 2 b. 4 c. e^(27) d...
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- If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=...
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- Mean deviation of the series a,a+d,a+2d,.......,a+2nd from its mean is...
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- If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...
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- A class has tree teachers, Mr. X, Ms.Y and Mrs.Z and six students A, ...
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