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The sum of the Y and Z intercepts made b...

The sum of the Y and Z intercepts made by the plane 3x + 4y -6z = 12 is ..................

A

10

B

4

C

1

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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Find the intercepts cut off by the plane 2x+y-z=5

The angle makes by the plane 2x + 3y + 6z - 15=0 with Y-axis is ............

The normal unit vector of the plane x-3y + 2z = 6 is ............

The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2z - 10 = 0 is...............

The direction of the line of intersection of the planes 2x + 3y + z-1 = 0 and x+y-z-7 = 0 is ..............

The distance of the point (2,-3,6) from the plane 3x-6y+2z + 10 = 0 is .....

The direction of the line of instersection of the planes 3x-z = 5 and 2y + x+z = 3 is ....

Distance between the two planes 2x-2y+z = 5 and 6x-6y+3z = 25 is .............. Units.

The equation of the plane whose X- intercept 4,Y - intercept (-6), Z- intercept 3 is ..............

The perpendicular distance between the planes x + 2y- 3z = 2 and 2x+4y-6z = -2 is.........

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The angle makes by the plane 2x + 3y + 6z - 15=0 with Y-axis is .........

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  2. The equation of the plane passing through (4,5,-1) and with normal 3 h...

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  3. The sum of the Y and Z intercepts made by the plane 3x + 4y -6z = 12 i...

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  4. If the foot of perpendicular from the origin to the plane is (a,b,0) t...

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

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  6. If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...

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  7. If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k...

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  8. If the foot of perpendicular from origin to the plane is (1,2,3) then ...

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  9. If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y...

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  10. The direction of the line of intersection of the planes 2x + 3y + z-1 ...

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  11. The pane x+2y -2z = 6 makes the intercepts with the axes, The centroid...

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

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

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

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

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

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

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

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

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

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