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For every point P(x ,\ y ,\ z) on the ...

For every point `P(x ,\ y ,\ z)` on the xy-plane, a. `x=0` b. `y=0` c. `z=0` d. `x=y=z=0`

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For every point (x\ , y ,\ z) on the x- axis (except the origin) a. x=0,\ y=0,\ z!=0 b. x=0,\ z=0,\ y!=0 c. y=0,\ z=0,\ x!=0 d. x=y=z=0

for every point (x,y,z) on the y-axis: (A) x=0,y=0 (B) x=0,z=0 (C) y=0,z=0 (D) y!=0,x=0,z=0

The x-y plane is rotated about its line of intersection with the y-z plane by 45^0 , then the equation of the new plane is/are a. z+x=0 b. z-y=0 c. x+y+z=0 d. z-x=0

The x-y plane is rotated about its line of intersection with the y-z plane by 45^0 , then the equation of the new plane is/are a. z+x=0 b. z-y=0 c. x+y+z=0 d. z-x=0

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n dx+y=z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n d x+y+z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0

From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to Y O Za n dZ O X planes, respectively. Then the equation of the plane O L M is a. x/a+y/b+z/c=0 b. x/a+y/b-z/c=0 c. x/a-y/b-z/c=0 d. x/a-y/b+z/c=0

From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to Y O Za n dZ O X planes, respectively. Then the equation of the plane O L M is a. x/a+y/b+z/c=0 b. x/a+y/b-z/c=0 c. x/a-y/b-z/c=0 d. x/a-y/b+z/c=0

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  5. Find the distance of the point (2, 3, 4) from the x- axis.

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  6. If a line has direction ratios proportional to 2, -1, -2, then what...

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  7. Write the direction cosines of a line parallel to z-axis.

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  8. If a unit vector vec a makes angles pi/3 with hat i ,pi/4 with hat ...

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  9. For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. ...

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  10. For every point (x\ , y ,\ z) on the x- axis (except the origin) a....

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  11. A rectangular parallelepiped is formed by planes drawn through the p...

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  12. A parallelepiped is formed by planes drawn through the points (2, 3...

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  13. The xy-plane divided the line joining the points(-1, 3, 4) and (2, -5,...

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  14. If the x-coordinate of a point P on the join of Q(2, 2, 1) and R(5, 1,...

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  15. The length of the perpendicular drawn from the point P(a , b , c) from...

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  16. Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2...

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  17. If P (3,2,−4) , Q (5,4,−6) and R (9,8,−10)  are collinear, then  ...

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  18. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

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