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If P (3,2,−4) , Q (5,4,−6) and R (9,8,...

If P (3,2,−4) , Q (5,4,−6) and R (9,8,−10)  are collinear, then  divides  in the ratio a. 3:2 internally     b. 3:2 externally        c. 2:1 internally         d. 2:1 externally

A

3:2 internally

B

3:1 externally

C

2:1 internally

D

2:1 externally

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The xy-plane divided the line joining the points(-1, 3, 4) and (2, -5,...

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  2. Ratio in which the zx-plane divides the join of (1, 2, 3) and (4, 2, 1...

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  3. If P (3,2,−4) , Q (5,4,−6) and R (9,8,−10)  are collinear, then  ...

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  4. A (3,2,0) , B (5,3,2)C (-9,6,-3) are three points forming a triangle. ...

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  5. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te ...

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  6. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

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  7. The direction cosines of the lines bisecting the angle between the lin...

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  8. The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(...

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  9. The locus of a point which moves so that the difference of the squares...

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  10. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

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  11. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

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  12. Let vector be the 2hat(i)+hat(j)-hat(k) then find the unit vector in ...

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  13. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

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  14. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

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  15. The length of projection of the line segment joining the points (1,0,-...

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  16. The number of planes that are equidistant from four non-coplanar point...

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  17. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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  18. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  19. If lines x=y=zandx=(y)/(2)=(z)/(3) and third line passing through (1,1...

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  20. Find the point of intersection of line passing through (0,0,1) and ...

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