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Find the equations of the tangent and th...

Find the equations of the tangent and the normal to the curve `16x^2+9y^2=145` at the point `(x_1,y_1)`, where `x_1=2` and `y_1gt0`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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  2. Find the area of the region in the first quadrant enclosed by the x...

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  3. Find the equations of the tangent and the normal to the curve 16x^2+9y...

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  4. Find the intervals in which the function f(x)=x^4/4-x^3-5x^2+24x+12 is...

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  5. Evaluate : int(0)^(pi/4) (sinx+ cos x)/( 16 + 9sin2x)

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  6. Evaluate : int1^3 (x^2 + 3x + e^x) dx as the limit of the sum.

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  7. An open tank with a square base and vertical sides is to be constructe...

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  8. Find int (2cosx)/((1-sinx)(1+sin^2x)) dx

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  9. Find the particular solution of the differential equation e^xtanydx+(2...

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  10. Find the distance of the point (-1,-5,-10) from the point of inters...

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  11. The differential equations, find a particular solution satisfying t...

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  12. A factory manufactures two types of screws, A and B. Each type of scre...

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  13. Let vec a=4hati+5hatj-hatk, vecb = hati -4hatj+5hatk and vec c=3hati+h...

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  14. Shortest distance between the lines:vecr=(4hati-hatj)+lambda(hati+2hat...

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  15. Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin th...

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  16. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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  17. Two numbers are selected at random(without replacement) from the first...

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  18. Using elementary row transformations, find the inverse of the matrix A...

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  19. Let A={x in Z:0 le x le 12}. Show that R={(a,b):a,b in A,|a-b| is divi...

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  20. Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is n...

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