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The maximum and minimum values of cos^(6...

The maximum and minimum values of `cos^(6)theta+sin^(6)theta` are respectively

A

1 and 1/4

B

1 and 0

C

2 and 0

D

1 and 1/2

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. Five numbers are in H.P. The middle term is 1 and the ratio of the sec...

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  2. The limit of {(1)/(x)sqrt(1+x)-sqrt(1+(1)/(x^(2)))} as x to 0

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  3. The maximum and minimum values of cos^(6)theta+sin^(6)theta are respec...

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  4. If a, b, c are in A.P., then the straight line ax+2by+c=0 will always ...

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  5. If one end of a diameter of the circle 3x^(2)+3y^(2)-9x+6y+5=0 is (1, ...

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  6. The value of cos^(2)75^(@)+cos^(2)45^(@)+cos^(2)15^(@)-cos^(2)30^(@)-c...

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  7. Suppose z=x+iy where x and y are real numbers and i=sqrt(-1). The poin...

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  8. The equation 2x^(2)+5xy-12y^(2)=0 represents a

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  9. The line y=x intersects the hyperbola (x^(2))/(9)-(y^(2))/(25)=1 at th...

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  10. The equation of the circle passing through the point (1, 1) and the po...

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  11. Six positive numbers are in G.P., such that their product is 1000. If ...

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  12. In the set of all 3xx3 real matrices a relation is defined as follows....

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  14. If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0 a...

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  15. For any two real numbers a and b, we define a R b if and only if sin^(...

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  16. Let n be a positive even integer. The ratio of the largest coefficient...

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  17. Let exp (x) denote the exponential function e^(x). If f(x)=exp(x^((1)/...

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  18. The sum of the series (1)/(1xx2)""^(25)C(0)+(1)/(2xx3)""^(25)C(1)+(1)...

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  19. Five numbers are in A.P, with common difference ne 0. If the 1^(st), 3...

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  20. The minimum value of the function f(x)=2|x-1|+|x-2| is

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