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If "f"("x")=sqrt((sec"x"-1)/(sec+1))" " ...

If `"f"("x")=sqrt((sec"x"-1)/(sec+1))" "` find `"f '"("x")dot` Also find `"f^,(pi/2)dot`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Let "T" be the set of all triangles in a plane with "R" as relation...

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  2. Show that the points (1,0), (6,0), (0,0) are collinear.

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  3. If "f"("x")=sqrt((sec"x"-1)/(sec+1))" " find "f '"("x")dot Also f...

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  4. If xsqrt(1+y)+ysqrt(1+x)=0, find ("dy")/("dx") . To prove (dy)/(dx)=...

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  5. Find the maximum are of the isosceles triangle inscribed in the ell...

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  6. show that the semi vertical angle of a right circular cone of given ...

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

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

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

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

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

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  12. Form the differential equation representing the parabolas having ve...

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  13. Solve the following differential equation: (3"x y"+"y"^2)"dx"+("x"^...

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  14. If int("e"^("a x")+"b x")"dx"=4"e"^(4"x")+(3"x"^2)/2"\ ","\ " find the...

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

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

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  17. Find the distance of the point (-2,3,-4) from the line ("x"+2)/3=(2"...

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  18. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dxdot

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

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

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