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The ratio in which the plane 2x + 3y + 5...

The ratio in which the plane `2x + 3y + 5z = 1`
divides the line segment joining the points (1, 0, 0)
and (1, 3, -5) is

A

`7 : 8`

B

`13 : 12`

C

`15 : 1`

D

`1 : 15`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
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  2. If the points (a, b, c), (2, 0, -1) and (1, -1, -3) are collinear, t...

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  3. The ratio in which the plane 2x + 3y + 5z = 1 divides the line segme...

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  4. The coordinates of a point which divides the join of points (3, 3, 7...

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  5. If the distance between the points (a, 0, 1) and (0, 1, 2) is sqrt(2...

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  6. The shortest distance of the point (1, 3, 5) from x^(2) + y^(2) = 0 ...

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  7. If the sum of the squares of the distances of the point (x, y, z) fr...

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  8. 26. Prove that the points O(0,0,0), A(2.0,0), B(1,sqrt3,0) and C(1,1/s...

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  9. XY-plane divides the line joining the points (2, 4, 5) and (-4, 3, -...

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  10. If the points (-1, 3, 2), (-4, 2, -2) and (5, 5, y) are collinear, t...

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  11. If the vertices of a triangle be (1, 1, 0), (1, 2, 1) and (-2, 2, -1...

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  12. The distance between the points (1, 4, 5) and (2, 2, 3) is

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  13. The minimum distance of the point (1, 2, 3) from x-axis is

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  14. If the orthocentre and centroid of a triangle are (-3, 5, 1) and (3, ...

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  15. If distances of (-1, 2, 3) from x, y, z axis are d,da, da respectively...

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  16. Let Aequiv(1, 2, 3) B equiv (3, 4, 5) then

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  17. Find the angel between the lines 2x=3y=-za n d6x=-y=-4zdot

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  18. The distance of the point P(a,b,c) from the x-axis is

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  19. The equation of a line passing through (a, b, c) and parallel tp z-...

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  20. बिंदु (1,2,-4) से जाने वाली और दोनों रेखाओ (x-8)/(3)=(y+19)/(-16)...

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