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Find the co-ordinates of the foot of the...

Find the co-ordinates of the foot of the perpendicular drawn from origin to the plane, `x + y + z -1 = 0.

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MODERN PUBLICATION-TEST PAPER 10-EXERCISE
  1. Find the primitive of : (x+1)/x

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  2. Is y = A/(x+A) a solution of the differential equation x dy/dx + y = y...

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  3. Find the co-ordinates of the foot of the perpendicular drawn from orig...

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  4. Write the projection of hat i - hat j in the direction of hat i - hat ...

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  5. Let A = {1, 2, 3). Then, show that the number of relations containing ...

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  6. A factory uses three different respurce for the manufacture of two dif...

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  7. 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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  8. Solve x + 2y = 3, 3x + y = 4 by matrix method.

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  9. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

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  10. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...

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  11. 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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  12. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

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  13. If tangents are drawn from the origin to the curve y = sin x, then sho...

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  14. Integrate the following int(3x+4)/(xsqrt(2x^2-5))dx

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  15. Evaluate int(0)^(4)(x+e^(2x))dx, as limit of sum.

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  16. Solve : (dy)/(dx)= sin(x+y)+cos(x+y)

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  17. Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...

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  18. If vec a, vec b, vec c are mutually perpendicular vectors of equal mag...

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  19. Prove that the lines joining the midpoints of consecutive sides of a q...

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  20. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

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