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Fill in the blanks : The direction rat...

Fill in the blanks :
The direction ratios of the line `frac{2x - 1}{3}=frac{4 - y}{1}=frac{3z + 6}{6}` are ……… .

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Find d.r. of the line frac{4-x}{2}=frac{y}{6}=frac{1-z}{3}

Direction cosines of the line parallel to line frac{x-5}{2}=frac{y+3}{-3}=frac{z-5}{6}

Find the equation of the line passing through the point P(4, 6, 2) and the point of intersection of the line frac{x-1}{3}=frac{y}{2}=frac{z+1}{7} and the plane x + y - z = 8.

Find the equation of the plane passing through the points (3,4,1) and (0,1,0) and parallel to the line frac{x + 3}{2}=frac{y - 3}{7}=frac{z - 2}{5}.

Find the equation of the plane passing through the points (-1, 2, 0) , (2, 2, -1) and parallel to the line frac{x - 1}{1}=frac{2y + 1}{2}=frac{z + 1}{-1} .

Direction ratios of line (x -1)/3 = (5 - y)/1 = (2z+4)/6 are

Direction ratio of line (x-1)/3=(5-y)/1=(2z+4)/6 are :

2tan^-1 frac{1}{3} + tan^-1 frac{1}{7}= frac {pi}{4}

Direction-ratios of line given by x-1/3=y+6/10=1-z/7 are

tan^-1 frac{1}{2} + tan^-1 frac {2}{11} = tan^-1 frac{3}{4}

JMD PUBLICATION-Probability-EXAMPLE
  1. If cos alpha , cos beta, cos gamma are the direction-cosines of a line...

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  2. Fill in the blanks : The direction cosines of the line joining point...

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  3. Fill in the blanks : The direction ratios of the line frac{2x - 1}{3...

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  4. Fill in the blanks : The equation of the line passing through (1, 2,...

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  5. Fill in the blanks : The x-intercept of the plane 2x - 3y + 5z + 4 =...

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  6. State whether it is true or false:If a line makes angles alpha, beta, ...

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  7. State True/False. the x-intercept of 3x - 4y + 6z = 12 is 3.

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  8. State True/False. the length of perpendicular from origin to plane 4...

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  9. Find the length of the perpendicular drawn from the point (2, 3, 7) to...

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  10. Show that the lines vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk)and...

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  11. Find the equation of the plane passing through the points (-1, 2, 0) ,...

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  12. Find the equation of the line passing through the point P(4, 6, 2) and...

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  13. Find the shortest distance between the lines whose equations are : vec...

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  14. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  15. Find the coordinates of the foot of perpendicular drawn from the point...

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  16. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  17. A variable plane which is at a constant distance 3p from the origin m...

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  18. Find the equation of the plane passing through the points (3,4,1) and ...

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  19. Find the equation of the plane determined by the points A(3, -1, 2), B...

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  20. Find the equation of the plane passing through the point (-1, 3, 2) an...

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