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Using matrices, solve the following syst...

Using matrices, solve the following system of linear equations: `2x-y+z=3`, `-x+2y-z=-4`, `x-y+2z=1`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation : (dy)/(dx)+2y=6e^x

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  2. Form the differential equation of the family of curves y=Acos2x+Bsi...

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  3. Using matrices, solve the following system of linear equations: 2x-y...

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  4. Using elementary transformations, find the inverse of the following ma...

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  5. Verify Lagranges mean value theorem for the following function: "...

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  6. Discuss the continuity of the following function at x = 0 : "f"("...

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  7. Solve the following differential equation: "x"("dy")/("dx")+"y"="x"lo...

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  8. Show that: int0^("pi"/2)"\ "sqrt(tan"x") +"\ "sqrt(cot"x")=sqrt(2)"pi...

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  9. Prove that the curves "x"="y"^2 and "x y"="k" intersect at right an...

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  10. Using properties of determinants, prove that following |(a+b+2c,a,b),(...

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  11. If |[x+2, 3],[x+5, 4]|=3 , find the value of x

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  12. Let "T" be the set of all triangles in a plane with "R" as relation...

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

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

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

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

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

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

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

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

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