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Delhi University MCA Previous Year Questions (PYQs)

Delhi University MCA DU Mathematics PYQ



The system of linear equations  has





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The complex number  is the root of the quadratic equation with real coefficients





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The locus of the point (α, β) such that the line y = αx + β, become a tangent to the hyperbola  9x- 4x = 36, is





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DU MCA 2019





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Which of the following is not correct statement?





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Let T = R3→R3 be a linear transformation defined by T(x,y,x) = (x-y, y-z, z-x). If rank(T) = ρ and nulity(T)=





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The area (in squares units) of the quadrilateral formed by the tangent lines drawn to the ellipse  at the ends of its two latus rectums is





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Let V=M2(R) denote the vector space 2x2 matrices with real entries over the field. Let T:V→V be defined by T(P) = Pt for any P∈V, where Pt is the transpose of P. If E is the matrix representation of T with respect to the standard basis of V the det(E) is equal to 





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The equation 2x2 + y2 - 12x - 4y + 16 = 0 represents





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If f(x) = ax3 + bx2 + x + 1 has a local maxima value 3 at the point of local maxima x = - 2, then f(2) is equal to :





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If the Newton-Raphson method is applied to find a real root of  f(x) = 2x2 + x - 2 = 0 with initial approximation x0 = 1. Then the second approximation xis





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The equation of common tangent to the curve y2 = 8x and xy = - 1 is





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The greatest value of the function  y = sin x . sin2x on (-∞, +∞)





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Let f(x) = sin8x + cos8x. Then the function f increases in the interval





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The area of the plane region by the curves x + 2y2 = 0 and x + 3y2 = 1 above x axis is equal to 





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The perimeter of the loop of the curve 9y= (x-y)(x-5)2





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Let U and V be vector spaces. 
Then they are isomorphic iff there is a bijection from a basis of U to a basis of V. 
The isomorphism is the basis changer function.
This means that if U and V are finite-dimensional vector spaces, they are isomorphic iff dim(U)=dim(V).







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