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The points hat(i)-hat(j)+3hat(k) and 3h...

The points `hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k)` are equidistant from the plane `rcdot(5hat(i)+2hat(j)-7hat(k))+9=0`, then they are

A

on the same sides of the plane

B

parallel of the plane

C

on the opposite sides of the plane

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The co-ordinate of the point P on the line r=(hat(i)+hat(j)+hat(k))+la...

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  2. The 3-dimensional vectors v1, v2, v3 satisfying v1cdotv1=4, v1cdotv2=-...

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  3. The points hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) are equi...

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  4. A, B, C and D are four points in space. Using vector methods, prove th...

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  5. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

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  6. The position vectors of points of intersection of three planes rcdotn1...

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  7. A pentagon is formed by cutting a triangular corner from a rectangular...

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  8. In a dimensional coodinate a system P, Q and R are image of a point A(...

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  9. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

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  10. The locus of point which moves in such a way that its distance from th...

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  11. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

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  12. A ray of light is sent through the point P(1, 2, 3,) and is reflected ...

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  13. A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-g...

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  14. The shortest distance between any two opposite edges of the tetrahedro...

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  15. The angle between the pair of planes represented by equation 2x^2-2y^2...

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  16. Let (p, q, r) be a point on the plane 2x+2y+z=6, then the least value ...

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  17. The fout lines drawing from the vertices of any tetrahedron to the cen...

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  18. The shorteast distance from (1, 1, 1) to the line of intersection of t...

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  19. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

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  20. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

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