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Show that the plane X-5Y-2Z =1 contains ...

Show that the plane X-5Y-2Z =1 contains the line `(X-5)/3 = Y = 2- Z`

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    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

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Statement 1: The plane 5x+2z-8=0 contains the line 2x-y+z-3=0 and 3x+y+z=5 , and is perpendicular to 2x-y-5z-3=0 . Statement 2: The plane 3x+y+z=5 , meets the line x-1=y+1=z-1 at the point (1,1,1)

Equation of the plane E which contains the line L : x = (y-3)/2 = (z-5)/3 , and is perpendicular to the plane , E_(1): 2x + 7y - 3z = 1 is

If the plane 4(x-1)+k(y-2)+8(z-5)=0 contains the line (x-1)/(2)=(y-2)/(4)=(z-5)/(3) ,then k is

Find equation of plane containing two parallel lines (x-1)/(2)=(y+1)/(-1)=(x)/(3) and (x)/(4)=(y-2)/(-2)=(z+1)/(6). Also find if the plane thus obtained contains the line (x-2)/(3)=(y-1)/(1)=(z-2)/(5) or not.

Direction cosines to the normal to the plane containing the lines (x)/(2)=(y)/(3)=(z)/(5) and (x-1)/(2)=(y-1)/(3)=(z-1)/(5) are

Show that the distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane (x-y+z=5) from the point (-1,-5,-10) is 13 units.

The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and parallel to the plane x+3y+6z=1 , is

The equation of the plane containing the straight line x/2=y/3=z/4 and perpendicular to the plane containing the straight lines x/3=y/4=z/2 and x/4 =y/2 =z/3 is :

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...

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  2. Find the principal value of: cos^(-1)(-1/2)

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  3. Show that the plane X-5Y-2Z =1 contains the line (X-5)/3 = Y = 2- Z

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  4. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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  5. If | (2x, -9), (-2, x) | = |(-4,8) , (1, -2)|, then value of x is

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  6. If A is a non- singular square matrix of the order 3 such that A^2=3A ...

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  7. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

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  8. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

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  9. Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx

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  10. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

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  12. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  13. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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  14. Amongst all open (from the top) right circular cylindrical boxes of vo...

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  15. If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)), prove that dy/dx = (x+y)/...

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  16. If y=e^acos^((-1)x),-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(d...

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  17. Find f'(x) if f(x) = tan x^(tan x)

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  18. Amongst all open (from the top) right circular cylindrical boxes of vo...

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  19. the domain of the function f(x) = sin^(-1) (2x) is (a) [0,1] (b) ...

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  20. Find the area lying above x-axis and included between the circle x^2+...

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