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Cartesian equation of a line `A B` are `(2x-1)/2=(4-y)/7=(z+1)/2dot` write the direction ratios of a line parallel to AB.

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To find the direction ratios of the line AB given by the Cartesian equation \((2x-1)/2 = (4-y)/7 = (z+1)/2\), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the given equation**: The equation of the line is given as \((2x-1)/2 = (4-y)/7 = (z+1)/2\). 2. **Rewrite the equation in standard form**: ...
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RD SHARMA-STRAIGHT LINE IN SPACE -Solved Examples And Exercises
  1. Write the Cartesian and vector equations of Y-axis.

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  2. Write the Cartesian and vector equations of Z-axis.

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  3. Cartesian equation of a line A B are (2x-1)/2=(4-y)/7=(z+1)/2dot write...

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  4. Write the direction cosines of the line (x-2)/2=(2y-5)/(-3),\ z=2.

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  5. Write the direction cosine of the line whose Cartesian equations are 2...

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  6. Write the angle between the lines 2x=3y=z\ a n d\ 6x=-y=-4zdot

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  7. Write the value of lambda for which the lines (x-3)/(-3)=(y+2)/(2lambd...

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  8. Write the formula for the shortest distance between the lines -> r= -...

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  9. The Cartesian equations of a line AB are (2x-1)/(sqrt(3))=(y+2)/2=(z-3...

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  10. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

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

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

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

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

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  15. Find the angle between the lines -> r=(2 hat i-5 hat j+ hat k)+lambda...

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  16. Find the angel between the lines 2x=3y=-za n d6x=-y=-4zdot

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

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

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

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

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