CUET · MATHS · PYQ PAPER 2025
Consider the line \(\frac{x-2}{2}=\frac{2 y-5}{-3}, z=-1\).
Then which of the following is/are true?
(A) It has Direction ratios \((2,-3,-1)\)
(B) It has Direction cosines \(\left(\frac{4}{5},-\frac{3}{5},-\frac{1}{5}\right)\)
(C) It has Direction ratios \(\left(2,-\frac{3}{2}, 0\right)\)
(D) It has Direction cosines \(\left(\frac{4}{5},-\frac{3}{5}, 0\right)\)
Choose the correct answer from the options given below :
- A (A only)
- B (A and B only)
- C (C and D only)
- D (A and C only)
Answer & Solution
Correct Answer
(C) (C and D only)
Step-by-step Solution
Detailed explanation
Given line: \(\frac{x-2}{2}=\frac{2 y-5}{-3}, z=-1\) Rewrite the y-term: \(\frac{2y-5}{-3} = \frac{2(y-5/2)}{-3} = \frac{y-5/2}{-3/2}\) The equation of the line is \(\frac{x-2}{2}=\frac{y-5/2}{-3/2}=\frac{z-(-1)}{0}\) Direction ratios…
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