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IF planes bar r . ( p hati - hatj +...

IF planes ` bar r . ( p hati - hatj + 2 hatk )+3=0 and bar r .( 2 hati - p hatj - hatk )-5=0` include angle `(pi)/(3) ` then the value of p is

A

`1,-3`

B

`-1,3`

C

`-3`

D

3

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Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-PLANE-COMPETATIVE THINKING
  1. The locus represented by xy + yz = 0 is

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  2. If the angle between the planes bar r .(m hati -hatj+2hatk)+3=0 ...

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  3. IF planes bar r . ( p hati - hatj + 2 hatk )+3=0 and bar r .( 2...

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  4. The d,r,s of normal to the plane through (1,0,0),(0,1,0) which makes a...

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  5. If the planes x+2y+kz=0 and 2x+y-2z=0, are at right angles, then the v...

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  6. The value of k for which the planes 3x-6y-2z=7 and 2x+y-kz=5 areperpen...

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  7. If the planes 3x-2y+2z+17=0 and 4x+3y-kz=25 are mutually perpendicul...

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  8. The equation of the plane through (4,4,0) and perpendicular to the pla...

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  9. Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) a...

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  10. The sine of the angle between the straight line (x-2)/3=(y-3)/4=(z-4)/...

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

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  12. The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X-axis. Th...

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  13. If the angle batween the line x=(y-1)/(2)=(z-3)/(lambda) and the plane...

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  14. The value of lambda for which the straight line (x-lambda)/(3)=(y-1)/(...

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  15. The line (x-2)/3 = (y-3)/4 = (z-4)/5 is parallel to the plane

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  16. The condition that the line (x-x1)/l=(y-y1)/m=(z-z1)/n lies in the pla...

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  17. Value of k such that the line (x-4)/1 = (y-2)/1 =(z-k)/2 lies in th...

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  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  19. The condition that the line (x-x1)/l=(y-y1)/m=(z-z1)/n lies in the pla...

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  20. If P (3,2,6) is a point in space and Q be a point on the line vecr = (...

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