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Let L be the line of intersection of ...

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha `with the positive x-axis, then cos` alpha ` equals `1/(sqrt(3))` `1/2` 1 `1/(sqrt(2))`

A

`1/sqrt(3)`

B

`1/2`

C

1

D

`1/sqrt2`

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A
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. The equation of line which passes through the intersection of the plan...

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  2. If(q+r)x+(r+p)y+(p+q)z=k and(q-r)x+(r-p)y+(p-q)z=k represent the e...

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  3. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

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  4. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  5. Equation of a line passing through (-1,2,-3) and perpendicular to the ...

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  6. Equation of a line passing through (1,-2,3) and parallel to the plane ...

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  7. The S.D between the lines (x+3)/-3=(y+7)/2=(z-6)/4 is equal to

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  8. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

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  9. The lines (x-a+b)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+delta), (...

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  10. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

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  11. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  12. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

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  13. The lines (x-2)/gamma=(y-4)/2=(z-5)/1 are coplaner ifgamma is

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  14. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

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  15. If the straight lines (x-1)/k = (y-2)/2 =(z-3)/3 and (x-2)/3 = (y-3)...

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  16. Find the distance of a point (2,4,-1) from the line (x+5)/1=(y+3)/4=...

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  17. Distance of the point (x(1),y(1),z(1)) from the line (x-x(2))/1=(y-y(...

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  18. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

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  19. The angle between the line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y-...

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  20. If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...

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