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 :

1

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

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2

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 fo…

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3

The area (in squares units) of the quadrilateral formed by the tangent lines drawn to the ellipse  at the end…

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6

If $\int \sin^2x\cos3xdx=\frac{\sin{x}}{a}+\frac{\sin{3x}}{b}-\frac{{\sin5x}}{c}$, then a+b+c=

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7

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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8

Which of the following is not correct statement?

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Topic: DU MCA 2019

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Topic: DU MCA 2019

1

If the Newton-Raphson method is applied to find a real root of  f(x) = 2x2 + x - 2 = 0 with initial approximation …

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2

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

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3

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

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4

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

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5

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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6

The perimeter of the loop of the curve 9y2 = (x-y)(x-5)2

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7

How did the writer come to be concerned about plastic waste?

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8

What does he mean by “the bigger picture”?

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9

Why does author want to go to the Pacific?

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What does the author find in supermarket?

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