CUET · MATHS · PYQ PAPER 2023
Which of the following statements are correct?
(A) Direction ratios of the line \(\frac{x-1}{2}=\frac{y+2}{3}=\frac{z-3}{4}\) are 2, 3, 4
(B) Direction ratios of the line \(\frac{x-1}{2}=\frac{2-y}{7}=\frac{2 z-1}{6}\) are 2, -7, 3
(C) Direction cosines of z axis are 0, 1, 0
(D) Direction ratios of the line joining the point (1, 2, -3) and (4, 5, 6) are 1, 1, 3
(E) Direction cosines of a line which makes equal angles with the coordinate axes are \(\frac{1}{3}, \frac{-1}{3}, \frac{1}{3}\)
Choose the correct answer from the options given below:
- A (A), (B), (C) Only
- B (A), (B), (D) Only
- C (B), (D), (E) Only
- D (D), (E) Only
Answer & Solution
Correct Answer
(B) (A), (B), (D) Only
Step-by-step Solution
Detailed explanation
Line is \(\frac{x-1}{2}=\frac{y+2}{3}=\frac{z-3}{4}\). Direction ratios are (2, 3, 4). (A) is correct. Line is \(\frac{x-1}{2}=\frac{y-2}{-7}=\frac{z-1/2}{3}\). Direction ratios are (2, -7, 3). (B) is correct. Direction cosines of z-axis are (0, 0, 1). (C) is incorrect.…
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