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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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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)

Find the equation of the plane containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

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

Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z-4 and is parallel to the line of intersection of the planes 2x + 3y +z=1 and x + 3y + 2z = 2 be x + Ay + Bz + C=0 Compute the value of |A+B+C| .

Find the equation of the plane containing the line (x+1)/3=(y-3)/5=(z+2)/(-2) and the point (0,7,-7) and show that the line x/1=(y-7)/(-3)=(z+7)/2 also lies in the same plane.

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 image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line (1) (x+3)/3=(y-5)/1=(z-2)/(-5) (2) (x+3)/(-3)=(y-5)/(-1)=(z+2)/5 (3) (x-3)/3=(y+5)/1=(z-2)/(-5) (3) (x-3)/(-3)=(y+5)/(-1)=(z-2)/5

Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=5 and a t a distance of 1/sqrt6 from the point (2,1,-1).

Find the equation of the plane containing the lines 2x-y+z-3=0, 3x+y+z=5 and at a distance of 1/sqrt6 from the point (2,1,-1) .

The equation of the plane containing the line 2x+z-4=0 nd 2y+z=0 and passing through the point (2,1,-1) is (A) x+y-z=4 (B) x-y-z=2 (C) x+y+z+2=0 (D) x+y+z=2

XII BOARD PREVIOUS YEAR PAPER ENGLISH-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 3xx3 such that A^2=...

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

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

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

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

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  15. If y=e^{a\cos ^{-1}x},-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/...

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

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

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

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  19. Using the method of integration find the area of the triangle ABC, ...

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  20. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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