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Consider three planes P1 : x-y + z = 1,...

Consider three planes
`P_1 : x-y + z = 1`,
`P_2 : x + y-z=-1` and
`P_3 : x-3y + 3z = 2`
Let `L_1, L_2` and `L_3` be the lines of intersection of the planes `P_2 and P_3`, `P_3 and P_1` and `P_1 and P_2` respectively.
Statement 1: At least two of the lines `L_1, L_2 and L_3` are non-parallel .
Statement 2:The three planes do not have a common point

A

Statement-I is true, Statement II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement -II is true.

Text Solution

Verified by Experts

The correct Answer is:
(d)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
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  3. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-...

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  4. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. find the angle between...

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  5. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  6. The distance of the point (1, 3, -7) from the plane passing through th...

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  7. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  8. 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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  9. The disatance of the point (1, 0, 2) from the point of intersection of...

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  10. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

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  11. The angle between the lines whose direction cosines satisfy the equa...

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  12. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  13. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  14. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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  15. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

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

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

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  18. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

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  19. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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  20. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

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