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If P, Q, R are angles of an isoseles tri...

If P, Q, R are angles of an isoseles triangle and `angle P = (pi)/(2)`, then the value of `("cos"(P)/(3)-"i sin"(P)/(3))^(2)+(cos Q+sin Q)(cos R -i sin R)+(cos P-i sin P)(cos Q - i sin Q) (cos R - i sin R)` is equal to

A

i

B

`-i`

C

1

D

`-1`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. Five numbers are in A.P, with common difference ne 0. If the 1^(st), 3...

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

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  3. If P, Q, R are angles of an isoseles triangle and angle P = (pi)/(2), ...

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  4. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

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  5. Let [a] denote the greatest integer which is less than or equal to a. ...

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  6. If P=((2,-2,-4),(-1.3,4),(1,-2,-3)), then P^(5) equals.

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  7. If sin^(2)theta+3cos theta=2, then cos^(3)theta + sec^(3)theta is

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  8. Let x=1+(1)/(2xx|ul(1))+(1)/(4xx|ul(2))+(1)/(8xx|ul(3))+……. and y=...

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  9. The value of the infinite series (1^(2)+2^(2))/(|ul(3))+(1^(2)+2^(2)+3...

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  10. The value of the integral int((pi)/(6))^((pi)/(3))((sin x-x cos x))/(x...

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  11. Let f(x)=x((1)/(x-1)+(1)/(x)+(1)/(x+1)), x gt 1. Then

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  12. Let F(x)=int(0)^(x)(cos t)/((1+t^(2)))dt, 0 le x le 2 pi. Then

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  13. Find the area of the region bounded by the curve y = x^(2) and the lin...

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  14. Let P be a point on the parabola y^(2)=4ax with focus F. Let Q denote ...

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  15. An objective type test paper has 5 questions. Out of these 5 questions...

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  16. A family of curves is such that the length intercepted on the y-axis b...

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  17. The solution of the differential equation (y^(2)+2x)(dy)/(dx)=y satisf...

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  18. The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is

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  19. The area of the region enclosed between parabola y^(2)=x and the line ...

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  20. Consider the system of equations : x+y+z=0 alpha x+beta y+gamm...

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