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If int("e"^("a x")+"bx")"dx"=1/4"e"^(4"x...

If `int("e"^("a x")+"bx")"dx"=1/4"e"^(4"x")+(3"x"^2)/2"` find the values of `"a"` and `"b"` .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Solve for x: tan^-1((1-x)/(1+x))=1/2 tan^-1 x, x > 0

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  2. Evaluate: int("x"+cos6"x")/(3"x"^2+sin6"x")" dx"

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  3. If int("e"^("a x")+"bx")"dx"=1/4"e"^(4"x")+(3"x"^2)/2" find the values...

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  4. A and B throw a pair of die turn by turn. The first to throw 9 is a...

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  5. Find the equation of the line passing through the point "P"(4,6,2) ...

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  6. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

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  7. Find the area of that part of the circle "x"^2+" y"^2=16 which is ex...

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  8. A man is known to speak truth 3 out of 4 times. He throws a die and...

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  9. An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 80...

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  10. Prove that tan(pi/4+1/2 cos^-1(a/b))+tan(pi/4-1/2 cos^-1(a/b))=(2b)/a

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  11. Solve for x: - tan^(-1)("x"+1)+tan^(-1)("x"-1)=tan^(-1) (8/31)

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  12. Let A=[(3,2,5),(4,1,3),(0,6,7)] Express A as sum of two matrices such ...

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  13. Solve the following differential equation: cos^2\ x(dy)/(dx)+y=tan\ x

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  14. Prove the following: tan^(-1)\ 1/3+tan^(-1)\ 1/5+tan^(-1)\ \ 1/7+tan...

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  15. For what value lambda are the vectors vec a=2 hat i+\ lambda hat j...

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  16. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  17. Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=p...

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  18. Differentiate the following with respect to x\ :tan^(-1)\ ((sqrt(1+x)\...

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  19. For what value of k is the following function continuous at x=2? f(...

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  20. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

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