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The angle between the lines (x-1)/1=(y-1...

The angle between the lines `(x-1)/1=(y-1)/1=(z-1)/2a n d(x-1)/(-sqrt(3)-1)=(y-1)/(sqrt(3)-1)=(z-1)/4` is `cos^(-1)(1/(65))` b. `pi/6` c. `pi/3` d. `pi/4`

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Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-2)/1=(y-3)/1=(z-4)/1 is equal to

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Show that the lines (x-1)/3=(y+1)/2=(z-1)/5a n d(x+2)/4=(y-1)/3=(z+1)/(-2) do not intersect.

Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-2)/1=(y-3)/1=(z-4)/1 is equal to a. sqrt(14) b. sqrt(7) c. sqrt(2) d. none of these

The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4 is a. sqrt(30) b. 2sqrt(30) c. 5sqrt(30) d. 3sqrt(30)

The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4 is a. sqrt(30) b. 2sqrt(30) c. 5sqrt(30) d. 3sqrt(30)

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

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  2. Write the vector equation of a line given by (x-5)/3=(y+4)/7=(z-6)/2

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  3. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

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  4. Find the cartesian equation of the line which passes through the poin...

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  5. Find the Cartesian equation of the line which passes through the point...

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  6. Find the angle between the lines vec r=(2 hat i-5 hat j+ hat k)+lambd...

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  7. Find the angle between the lines 2x=3y=-za n d 6x=-y=-4zdot

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  8. The angle between the straight lines (x+1)/2=(y-2)/5=(z+3)/4a n d(x-1)...

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  9. The lines x/1=y/2=z/3a n d(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are a. coin...

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  10. The angle between the lines (x-1)/1=(y-1)/1=(z-1)/2a n d(x-1)/(-sqrt(3...

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  11. The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3...

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  12. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

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  13. The equation of the line passing through the points (a1 hat i+a2 hat j...

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  14. If a line makes angles alpha,beta,gamma with the axes respectively teh...

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  15. If the direction ratios of a line are proportional to ( 1, -3, 2 ) the...

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  16. If a line makes angle pi/3\ a n d\ pi/4 with x-axis and y-axis respect...

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  17. The projections of a line segment on X, Y and Z axes are 12,4 and 3 ...

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  18. The lines 6x=3y=2z and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are (A) parall...

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  19. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is (a) Parallel to x-axis (b...

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  20. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

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