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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- Write the direction ratios of the vector 3 vec a+2 vec b where vec a=...
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- Find the vector and cartesian equations of the plane passing through t...
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- Solve the differential equation (dy)/(dx)-3ycotx=sin2x given y=2 when ...
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- Solve for x :tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,x >0
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- Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))
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- Find : int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dx
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- Find : intx/((x^2+1)(x-1))dx
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- Find the areas of the region {(x , y): y^2lt=4x ,4x^2+4y^2lt=9}, using...
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- Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.
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- Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on th...
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- If y=A e^(m x)+B e^(n x), show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n y...
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- Find : int(x+3)/(sqrt(5-4x+x^2))dx
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- Find the shortest distance between the following lines: vec r=2 hat i...
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- For what value of lambda the function defined by f(x)={lambda(x^2+2),i...
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- If x=a e^t(sint+cost) and y=a e^t(sint-cost), prove that (dy)/(dx)=(x+...
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- Evaluate : int0^(pi/4)log(1+tanx)dxdot
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- Find : intx/((x-1)^2(x+2))dx
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- A point on the hypotenuse of a right triangle is at distances a and b ...
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- Evaluate: int[x+2]/[2x^2+6x+5]dx
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- Write the order of the differential equation 1+((dy)/(dx))^2=7\ ((d^2y...
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