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MODERN PUBLICATION-TEST PAPER 10-EXERCISE
- Is y = A/(x+A) a solution of the differential equation x dy/dx + y = y...
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- Find the co-ordinates of the foot of the perpendicular drawn from orig...
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- Write the projection of hat i - hat j in the direction of hat i - hat ...
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- Let A = {1, 2, 3). Then, show that the number of relations containing ...
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- A factory uses three different respurce for the manufacture of two dif...
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- Verify that [AB]^T =B^TA^T where A=[[1,2,3],[6,7,8],[6,-3,4]] B=[[1,2,...
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- Solve x + 2y = 3, 3x + y = 4 by matrix method.
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- Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2
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- If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...
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- Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...
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- If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)
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- If tangents are drawn from the origin to the curve y = sin x, then sho...
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- Integrate the following int(3x+4)/(xsqrt(2x^2-5))dx
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- Evaluate int(0)^(4)(x+e^(2x))dx, as limit of sum.
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- Solve : (dy)/(dx)= sin(x+y)+cos(x+y)
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- Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...
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- If vec a, vec b, vec c are mutually perpendicular vectors of equal mag...
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- Prove that the lines joining the midpoints of consecutive sides of a q...
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- int0^1(x^5(4-x^2))/sqrt(1-x^2)dx
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- find the point of intersection of the line through (1,3,-2) and (3,4,1...
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