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Given that p(3,2,-4) , Q (5,4, -6) and R...

Given that p(3,2,-4) , Q (5,4, -6) and R (9,8,-10) are collinear find the ratio in which Q divides PR

A

3:2 internally

B

3:1 externally

C

2:1 internally

D

2:1 externally

Text Solution

Verified by Experts

The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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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. Given that p(3,2,-4) , Q (5,4, -6) and R (9,8,-10) are collinear find...

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  4. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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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 ,and R are images of ...

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

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  19. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  20. The equation of the plane through the intersection of the planes x+y+z...

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