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The direction cosines of the normal to t...

The direction cosines of the normal to the plane
`x + 2y - 3z + 4 = 0` are

A

`-(1)/(sqrt(14)),-(2)/(sqrt(14)),-(-3)/(sqrt(14))`

B

`(1)/(sqrt(14)),(2)/(sqrt(14)),(3)/(sqrt(14))`

C

`-(1)/(sqrt(14)),(2)/(sqrt(14)),(3)/(sqrt(14))`

D

`(1)/(sqrt(14)),(2)/(sqrt(14)),-(3)/(sqrt(14))`

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-PLANE-COMPETATIVE THINKING
  1. The vector equation of the plane which is at distance of (3)/(sqrt(14)...

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  2. The equation of the plane through (-1,1,2), whose normal makes equal a...

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  3. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

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  4. If the normal of the plane makes angles (pi)/(4),(pi)/(4)" and "(pi)/(...

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  5. The equation of the plane through (1, 2,-3) and (2, -2, 1) and paralle...

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  6. The equation of the plane through (2,3,4) and parallel to the plane x+...

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  7. The equation of the plane passing through (2,3,4) and parallel to the ...

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  8. The equation of plane passing through the point (1 ,2 ,3) and paralle...

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  9. The intercepts of the plane 5x-3y+6z-60=0 on the coordinate axes are

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  10. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

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  11. A plane pi makes intercepts 3 and 4 respectively on z-axis and x-axis....

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  12. The equation of a plane which cuts equal intercepts of unit length on ...

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  13. If a plane has x-intercept l, y-intercept m and z-intercet n, and perp...

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  14. The equation of the plane which bisects the line joining (2, 3, 4) and...

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  15. If the foot of the perpendicular from O(0,0,0) to a plane is P(1,2,2)....

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  16. If the foot of the perpendicular drawn from the origin to a plane is (...

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  17. Find the co-ordinate of the foot of the perpendicular drawn form the o...

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  18. If P be the point (2,6, 3) then the equation of the plane through P, a...

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  19. The equation of the plane passng throuogh (1,1,1) and (1,-1,-1) and pe...

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  20. Equation of the plane through (-2,2,2) and (2,-2,-2) and perpendicular...

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