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If y="sin"(sinx),"p r o v et h a t" (...

If `y="sin"(sinx),"p r o v et h a t"` `(d^2y)/(dx^2)+tanx(dy)/(dx)+ycos^2x=0.`

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    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

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If y="sin"(sinx),"prove that" (d^2y)/(dx^2)+tanx(dy)/(dx)+ycos^2x=0.

If y=sin(sinx) , prove that (d^2y)/(dx^2)+tanxdot(dy)/(dx)+y\ cos^2x=0 .

If y=sin (sinx) prove that (d^(2)y)/(dx^(2)) + "tan x" (dy)/(dx) + y cos^(2) x =0 .

If x=sint ,y=sinp t ,"p r o v et h a t" (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2y=0.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...

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  2. If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...

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  3. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)+yco...

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  4. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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

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

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

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

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

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

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

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

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

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  14. For the differential equation, find a particular solution satisfying...

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

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

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

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

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

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

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