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Ifthe points (1,1, lambda) and (-3,0,1)...

Ifthe points `(1,1, lambda) and (-3,0,1)` are equidistant from the plane,`3x + 4y-12z + 13 = 0`, then `lambda` satisfiesthe equation

A

`3x^2+10x -13 = 0 `

B

`3x^2 -10x + 21 = 0 `

C

`3x^2 - 10 x + 7 = 0 `

D

`3x^(2) + 10 x - 7 = 0 `

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -2 : Concept Applicator
  1. Ifthe points (1,1, lambda) and (-3,0,1) are equidistant from the plan...

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  2. A line makes the same angle alpha with each of the x and y axes. If th...

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  3. A mirror and source of light are situated at the origin O and a point ...

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  4. The point of intersection of the line passing through (0,0,1) and i...

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  5. The direction cosines l, m and n of two lines are connected by the rel...

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  6. The angle between the plane 2x + 3y - 8z = 0 and the line .(x-2)/1=(y...

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  7. Find the direction cosines of the two lines which are connected by ...

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  8. Find the equation of a line which passes through the point (1,1,1) ...

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  9. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

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  10. The equation of the line intersection of the planes 4x+4y-5z=12 and 8x...

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  11. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

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  12. The line which contains all points (x, y, z) which are of the form (x,...

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  13. Show that the points A(1,2,3), B(-1,-2,-1), C(2,3,2), D(4,7,6) are the...

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  14. The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

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  15. The line which passes through the origin and intersect the two lines (...

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  16. The angle between the lines (x+1)/2 = (y+3)/2 = (z-4)/-1 and (x-4)/1 =...

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  17. The distance between the line given by vecr= hati+hatj + lamda(hati-2...

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  18. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  19. The coordinates o the foot of the perpendicular drawn from the orig...

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  20. If A,B,C are point (1,0,4) , (0,-1,5) and (2,-3,1) respectively , then...

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  21. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

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