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If f (x) = (x - 4)^2 (x + 2), then which...

If f (x) = `(x - 4)^2 (x + 2)`, then which only one of the following statements is true ?

A

f (x) is decreasing if `x lt 0`

B

f (x) is increasing for `0 lt x lt 4`

C

f (x) has a relative maximum at x = 0

D

The graph of f (x) has a horizontal tangent at x = 2

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XII BOARDS PREVIOUS YEAR-CUET MOCK TEST SET 1-PART – B (SECTION – III MATHEMATICS )
  1. A cube root of i is

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  2. The coefficient of x^4 in the series expansion of e^(1–2x) is

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  3. The solution (x, y, z) of the system 3x – 2y + z = 2, 2x – y + 3z = ...

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  4. A=[(5,0,0,1),(0,2,4,3),(6,1,0,0)],B=[(1,3),(0,4),(2,0),(1,2)] and AB=C...

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  5. If A=[(3,1,2),(4,0,5),(-1,3,-4)],A^(-1)=B=(b)(ij) then b(32) is

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  6. From a box containing three pink, four orange and two blue marbles, tw...

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  7. (2cis 30^(@))^2/(4cis 60^(@))^(3) is equal to

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  8. If 1 + 5 + 9 + …..x = 780 then x is

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  9. The length of a tangent drawn from the point (– 2, – 4) to the circle ...

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  10. For the ellipse 9x^2 + 36y^2 = 324 the eccentricity, length of the maj...

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  11. lim(xto0)(abs(x))/x as is

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  12. The value of c and k that make the function {(x+2c,x le 2),(3cx+k, 2...

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  13. A ball is thrown vertically from the top of a house 112 ft high. Its e...

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  14. If f (x) = (x - 4)^2 (x + 2), then which only one of the following sta...

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  15. The volume of the solid obtained by revolving the curve y = x^3 about...

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  16. The center of mass of three particles having masses of 1, 2 and 3 unit...

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  17. The volume of the parallelepiped having vertices at P (5, 4, 5), Q (4,...

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  18. A particle is moving along the curve vec r( t ) = cos tbari +sin t b...

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  19. If (dy)/(dx)=x^2-2x-4,y(3)=-6, then 3y is equal to

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  20. A unit vector parallel to the xz– plane and perpendicular to the vecto...

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