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What is the point of intersection of the line x = y = z with the plane x + 2y + 3z = 6?

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SHARAM PUBLICATION-QUESTION PAPER 2012-EXERCISE
  1. Write the particular solution of the equation (dy)/(dx)=sinx given tha...

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  2. Write the order and degree of the following differential equation d^(2...

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  3. What is the point of intersection of the line x = y = z with the plane...

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  4. To which coordinate axis is the plane 2x+ 3z = 0 parallel ?

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  5. Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...

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  6. What is the minimum value of n if P(n,2)=90?

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  7. What is the probability of getting a total of utmost 11 when two dice ...

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  8. Determine the maximum value of |[cosx sinx], [-sinx cosx-1]|.

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  9. Write the solution of the following LPP Maximise Z=x+y Subject to ...

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  10. Prove that , if y=logtan((pi)/(4)+(x)/(2)) , then (dy)/(dx)=secx

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  11. Differentiate with resi to x : Y = 2^(x^2) + tan^(-1)((cosx-sinx)/(cos...

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  12. Find ((dz)/(dx))if z = x^cosx.

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  13. Evaluate lim(x to π/2) log(x-π/2)/tan x

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  14. Find the equation of tangent to the curve x=y^2-2 at the points where ...

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  15. Integrate: int (cos2x)/(cosx+sinx)dx

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  16. Evaluate: int 2a^(x^(2))xdx

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  17. Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...

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  18. Find the solutions of the following differential equations : y^(2)+x...

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  19. Solve the following differential equations x log x (dy)/(dx)+y= 2 lo...

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  20. Find a vector vec(b) such that vec(a) xx vec(b) = vec(c) and vec(a).ve...

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