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Real part of eeθ is ...
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If (tan3x - tan2x)/(1+tan3x.tan2x) = 1 , 0 < x < π/2 , x is ...
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A work is done in two phases. The probability of the success of the phases is 0.9 and 0.8 respectively.What is the probability that the work cannot be done ? ...
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Parametric equation of a line at a distance p from origin can be written as , ...
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How many independent terms are there in the expansion (a+b+c)50 ? ...
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What is the maximum value of (a2cos2θ+b2sin2θ) ? ...
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A ray of light emanating from (0,b) is reflected on X-axis and passes through (p,q).What is the slope of the reflected line ? ...
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A line passing through the origin rotates dθ/dt = β , what is the maximum rate at which the area formed by the above line , X -axis and x =a change ? ...
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f(x+y) = f(x)+f(y) and f(0) = 1 f'(0) = 1, then f(x) = ? ...
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What is the locus of centre of a circle that touches two other circles externally ? ...
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What is the radius of the inscribed circle in the right angled triangled triange with sides (3,4,5) ? ...
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∫(ex/(1+ex)2dx ...
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if dy/dx - y = xxlnx what might be y ? ...
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Lim cos(ax)/(f(x)-a) = 2 , then f(Ï€/2a) = ? x ->(Ï€/2a) ...
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lim (1/n2+2/n2+ ...+ n/n2) n-->∞ ...
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Lim (an +bn)(1/n) n→∞ a, b are finite positive numbers. ...
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Lim √(x2)/x x→0 ...
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If α and β are posiive integers and are the roots of the equation x2+kx+12 = 0 such that α3 - β3 = 37 , what is the value of k ? ...
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What is the equaton of a quadratic curve has maxima at (1,1) and cuts X axis at a distance 2 from origin ? ...
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f(x) = sin-1x + cos-1x f'(x) = ? ...
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If radius of incircle of a triangle is 1 and area of the triangle is 2 what is the value of perimeter of the triangle ? ...
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What is the volume of the cuboid whose sides are given by vectors 2i , 3j and 4k ? ...
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Resultant of two vectors a and b having angle 90° between them is doubled in magnitude if b is tripled.if |a| = 4 then the magnitude of resultant is ...
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What is the unit vector perpendicular to the plane containing (i+j+k) and (i - j - k) ? ...
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What is the point of interesction of the tangent 2x+3y = 13 and the circle x2+y2 = 13 ? ...
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What is the local maxima of the curve y = x+1/x ...
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The family of lines given by the equation x(1+γ) + y (2 - γ) - 3 = 0 where γ is a parameter always passes through ...
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In complex plane ((Z-Z)/2)2 + ((Z+Z)/2)2 =1 describes ...
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|Z1| = 1 and |Z2 - 3 - 3i| = 1 , then minimum value of |Z1 - Z2| = ? ...
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IF A and B are mutually independent events , P(AUB) = 1/2 , P(A) = 1/3 , P(B) = ? ...