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

1

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

Topic: DU MCA 2019

2

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

Topic: DU MCA 2019

3

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

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4

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

Topic: DU MCA 2019

5

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

Topic: DU MCA 2019

6

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 :

Topic: DU MCA 2019

7

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

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8

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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9

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

Topic: DU MCA 2019

10

Question

Topic: DU MCA 2019

1

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

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2

What does he mean by “the bigger picture”?

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3

Why does author want to go to the Pacific?

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4

What does the author find in supermarket?

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5

Why does the author think recycling is not the right solution?

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6

Mark the statement that is NOT true:

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7

What service is writer doing to his family?

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8

Why is it that some grownups can drink and digest milk while others cannot digest it?

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9

How did some populations come to retain lactase-persistence while very many others did not as they grew up?

Topic: DU MCA 2019

10

Mark the statement that is NOT true:

Topic: DU MCA 2019