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If `"f"("x")` is an invertible function, find the inverse of `"f"("x")=(3"x"-2)/5`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Show that the semi vertical angle of a right circular cone of given ...

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  2. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

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  3. If "f"("x") is an invertible function, find the inverse of "f"("x")...

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  4. If [[(x+3y),y],[7-x,4]]=[(4,-1),(0,1)], find the values of x and y.

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  5. Solve for x: tan^-1((1-x)/(1+x))=1/2 tan^-1 x, x > 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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