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Write the equation of the plane perpendi...

Write the equation of the plane perpendicular to y-axis at the point (0,-2, 0).

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MODERN PUBLICATION-SAMPLE PAPER 2015-EXERCISE
  1. Write the order of the differential equation of the system of ellipse ...

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  2. A line makes angles 60^(@) and 45^(@) with the positive direction of X...

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  3. Write the equation of the plane perpendicular to y-axis at the point (...

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  4. If (2,3,5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-6x...

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  5. If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...

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  6. There are 4 letters and 4 directed envelopes. Write the number of ways...

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  7. Write the probability that two persons have the same birthday (conside...

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  8. Find (dy)/(dx), when y^(x)=x^(siny)

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  9. Find dy/dx, when y = e^(x)ln x.

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  10. Show that (dy)/(dx) is independent of t . cos x=sqrt((1)/(1+t^(2))) an...

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  11. Verify Euler's theorem in the case of z = xy+((x+y)^(4))/(xy).

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  12. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

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  13. Find the following limits:lim(xrarr0+)logtanx tan2x

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  14. Find the approximate value of root(6)(63).

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  15. Evaluate : intx^(2)tan^(-1)xdx.

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  16. Evaluate int dx/(x ln (x)sqrt((In(x))^2-4))

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  17. Find the area of the circle x^2+y^2=2ax.

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  18. Find the particular solution ofthe differential equation (d^2y)/(dx^2)...

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  19. Solve the following differential equation (x+2y^(3))dy/dx=y.

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  20. Solve the following differential equation : x^(2)(y-1)dx+y^(2)(x-1)dy ...

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