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The number of distinct real values of la...

The number of distinct real values of `lamda` for which `(x-1)/1=(y-2)/2=(z+3)/(lamda^(2))` and `(x-3)/1=(y-2)/(lamda^(2))=(z-1)/2` are coplanar, is

A

2

B

4

C

3

D

1

Text Solution

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The correct Answer is:
C
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The sum of all intergral values of lamda for which (lamda^(2) + lamda -2) x ^(2) + (lamda +2) x lt 1 AA x in R, is:

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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

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

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  6. If the lies (x-3)/1=(y+2)/-1=(z+lambda)/(-2) lies on the line, 2x - 4...

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  7. The coordinates of the foot of the perpendicular from the point (1, -2...

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  8. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

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  9. If a variable plane, at a distance of 3 units from the origin, interse...

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  10. The length of the projection of the line segment joining the points (5...

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  11. If L1 is the line of intersection of the planes 2x-2y+3x-2=0x-y+z+1=0 ...

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  12. A variable plane passes through a fixed point(3,2,1) and meets and ...

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  13. An agle between the plane, x + y+ z =5 andthe line of intersection of ...

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  14. The sum of the intercepts on the coordinate axes of the plane passing ...

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  15. If the angle between the lines, x/2=y/2=z/1 and (5-x)/(-2) = (7y-14)/(...

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  16. A plane bisects the line segment joining the points (1,2,3) and (-3,4,...

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  17. An angle between the lines whose direction cosines are given by the eq...

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  18. If lines x=ay+b, z= cy +d " and " x=a' z+b y+c' z+ d' are perpen...

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  19. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

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  20. On which of the following lines lies the point of intersection of the ...

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