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The co-ordinates of a point on the line ...

The co-ordinates of a point on the line `x=4y+5,z=3y-6` at a distance `3sqrt(26)` from the point (5,0,-6) are

A

`(17,3,3)`

B

`(-7,3,-15)`

C

`(-17,-3,-3)`

D

`(7,-3,15)`

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. The lines r=a+lambda(bxxc)andr=b+mu(cxxa) will intersect if

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  2. The shortest distance between the lines r=(4i-j)+lambda(i+2j-3k) and...

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  3. The co-ordinates of a point on the line x=4y+5,z=3y-6 at a distance 3s...

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  4. If theta denotes the acute angle between the line r=(i+2j-k)+lambda(i-...

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  5. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

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  6. Equation of a plane bisecting an angle between the plane r.(i+2j+2k)=1...

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  7. If the line (x-1)/(2)=(y-3)/(a)=(z+1)/(3) lies in the plane bx+2y+3z-4...

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  8. Equation of the plane passing through the points i+j-2k,2i-j+kandi+2j+...

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  9. The line of shortest distance between the lines (x-1)/(2)=(y+8)/(-7)...

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  10. If r.n=q is the equation of a plane normal to the vector n, the length...

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  11. If the foot of the perpendicular from the origin to plane is P(a ,b...

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  12. The plane passing through the point (-2,-2, 2) and containing the line...

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  13. Equation of a line passing through the point whose position vector is ...

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  14. The lines r=i-j+lambda(2i+k) and r=2i-j+mu(i+j-k)

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  15. The points (-2,5), (3, -4) and (7, 10) are the vertices of the triangl...

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  16. The foot of the perpendicular from (a, b, c) on the line x=y=z is the ...

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  17. Equation of a plane which passes through the line x+py+q=0=rz+s and ma...

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  18. Parametric form of the equation of the line 3x-6y-2z-15=2x+y-2z-5=0 is

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  19. A line with cosines proportional to 2,7-5 drawn to intersect the lines...

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  20. The YZ-plane divides the line joining the points (3,5,-7)and(-2,1,8) i...

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