Question:medium
The angle between the pair of lines \( \frac{x-2}{2} = \frac{y-1}{5} = \frac{z+3}{-3} \) and \( \frac{x+2}{-1} = \frac{y-4}{8} = \frac{z-5}{4} \) is:
The angle between the pair of lines \( \frac{x-2}{2} = \frac{y-1}{5} = \frac{z+3}{-3} \) and \( \frac{x+2}{-1} = \frac{y-4}{8} = \frac{z-5}{4} \) is:
Show Hint
Direction ratios are always found in the denominators of the symmetric form of line equations, provided the coefficients of \( x, y, \) and \( z \) are positive unity.
Updated On: May 1, 2026
- \( \cos^{-1} \left( \frac{21}{9\sqrt{38}} \right) \)
- \( \cos^{-1} \left( \frac{23}{9\sqrt{38}} \right) \)
- \( \cos^{-1} \left( \frac{24}{9\sqrt{38}} \right) \)
- \( \cos^{-1} \left( \frac{25}{9\sqrt{38}} \right) \)
- \( \cos^{-1} \left( \frac{26}{9\sqrt{38}} \right) \)
Show Solution
The Correct Option is
Solution and Explanation
Was this answer helpful?
0
Top Questions on angle between two lines
- The angle between the lines whose intercepts on the axes are (a,-b) and (b,-a) respectively, is
- BITSAT - 2021
- Mathematics
- angle between two lines
- What is the value of \( n \) so that the angle between the lines having direction ratios \( (1, 1, 1) \) and \( (1, 1, n) \) is \( 60^\circ \)?
- BITSAT - 2012
- Mathematics
- angle between two lines
- The angle between the lines whose direction cosines satisfy the equations $l + m + n = 0 $ and $ l^2= m^2 + n^2 $is
- JEE Main - 2014
- Mathematics
- angle between two lines
- The angle between the lines $x-2y+3=0$ and $2x+y-4=0$ is:
- MET - 2008
- Mathematics
- angle between two lines
- Want to practice more? Try solving extra ecology questions todayView All Questions
