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Proved that the line (x-1)/2=(y+2)/(-3)=...

Proved that the line `(x-1)/2=(y+2)/(-3)=(z-3)/1` lies on the plane `7x+5y+z=0`

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Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the plane 2x-4y+z=7

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If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 = 0, then k = - (2,-1,-2)

SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE
  1. Find the value of lambda such that the following vectors are coplanar...

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  2. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  3. Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...

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  4. If one end of a diameter of the sphere x^2+y^2+z^2-2x+4y-6z-11=0 is (-...

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  5. Show that feasible region for the following constarints in a graph 2x+...

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  6. If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely...

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  7. Find the inverse of the following : [[2,5],[1,3]]

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  8. If the sets A and B have m and n elements respectively, then how many ...

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  9. If A and B are any two events and AsubB, then prove that P(A)leP(B)

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  10. If a die is thrown twice in succession, then find the probability that...

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  11. Find (dy)/(dx) if x=y^x+tan^(-1)x.

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  12. if y=e^(cos^(-1)x) then find dy/dx.

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  13. Show that the rectangle of maximum area that can be inscribed in a giv...

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  14. Determine: underset (x rarr0)lim(x cos x)/( sin x).

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  15. Integrate: int sin 4xdx

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  16. Evaluate int (dx)/((x+1)sqrt(1-x^2))

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  17. int0^pi(xdx)/(1+sinx)

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  18. Find the solution of the following differential equations: (2x+y+1)dx+...

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  19. If the vertices A,B,C of a triangle ABC are at (1,1,2),(2,2,3),(3,-1,-...

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  20. Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...

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