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The plane passes through the point (1,-1...

The plane passes through the point (1,-1,-1) and its normal is perpendicular to both the lines `(x-1)/(1) = (y+2)/(-2) = (z-4)/(3)` and `(x-2)/(2) + (y+1)/(-1) = (z+7)/(-1)`. The distance of the point (1,3,-7) from thise plane is ..........

A

`(10)/(sqrt(74))`

B

`(20)/(sqrt(74))`

C

`(10)/(sqrt(83))`

D

`(5)/(sqrt(83))`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The pane x+2y -2z = 6 makes the intercepts with the axes, The centroid...

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

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  3. The plane passes through the point (1,-1,-1) and its normal is perpend...

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  4. The plane ax + by + cz = 1 intersects the axes in A, B and C respetive...

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  5. The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the pos...

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  6. The equation of the plane passing through the pionts (2,5,-3) and perp...

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  7. The equation of the plane passing through the pionts (0,-4,-6) and (-2...

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  8. The line joining the pionts (1,1,2) and (3,-2,1) meets the plane 3x + ...

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  9. The plane passing through (5,1,2) and perpendicular to the line 2(x-2)...

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  10. The intercepts on the axes cut off by the plane which is perpendicular...

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  11. The equation of the plane passing through the intersection of the plan...

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  12. If from the point (a,b,c) perpendiculars PL and PM be drawn to YOZ and...

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  13. The line (x+1)/(2) = (y+1)/(3) = (z+1)/(4) meets the plane x + 2y + 3z...

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  14. The plane containing the two lines (x-3)/(1) = (y-2)/(4) = (z-1)/(5) a...

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  15. A variable plane passes through a fixed point (1,-2,3) and meets the c...

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  16. The equation to the plane through the pionts (2,-1,00) and (3,-4,5) pa...

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  17. Through a point P(f,g,h) a plane is drawn at right angles to bar(OP), ...

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  18. If p1,P2,P3 denot the distances of the plane 2x-3y+4z +2 = 0 from the ...

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  19. The image of the piont P(2,3,1) in the plane x-y-z -2 = 0 is ............

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  20. If the plane lambda x-mu y + vz = phi contains line (x-lambda)/(lambd...

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