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Using properties of determinants, prove that `|[(a+1)(a+2),a+2,1],[(a+2)(a+3),a+3,1],[(a+3)(a+4),a+4,1]|=-2`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. A bag contains 4 red and 4 black balls, another bag contains 2 red and...

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  2. One kind of cake requires 200 g of flour and 25 g of fat, and anoth...

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  3. Using properties of determinants, prove that |[(a+1)(a+2),a+2,1],[(a...

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  4. Solve the differential equation x^2dy+(x y+y^2)dx=0 given y=1, when x=...

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  5. Find the particular solution of the differential equation x(dy)/(dx)+y...

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  6. From a lot of 15 bulbs which include 5 defectives, a sample of 2 bulbs...

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  7. Probability of solving specific problem independently by A and B are 1...

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  8. Find the area of the region in the first quadrant enclosed by the y-ax...

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  9. Evaluate : int0^(pi/2)(dx)/(1+sqrt(tanx))

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  10. Show that the four points A, B, C and D with position vectors4 hat i+...

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  11. Find the shortest distance between the lines vec r=( hat i+2 hat j+ h...

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  12. Find the derivative of (sinx)^x+sin^(-1)sqrt(x) w.r.t. x

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  13. If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(...

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  14. Find int((x^2+1)e^x)/((x+1)^2)dx

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  15. If x=asec^3theta,y=atan^3theta, find (d^2y)/(dx^2) at theta=pi/4

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  16. Solve : tan^(-1)2x+tan^(-1)3x=pi/4

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  17. Prove that : tan^(-1)(63/16)=sin^(-1)\(5/13)+cos^(-1)(3/5)

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  18. A tank with rectangular base and rectangular sides open at the top is ...

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  19. Let f: N -> R be a function defined as f(x)=4x^2+12 x+15. Show that f:...

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  20. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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