AP EAMCET · Maths · Three Dimensional Geometry
If the direction ratios of two lines are given by 3lm − 4ln + mn = 0 and l + 2m + 3n = 0, then the angle between the lines is
- A \(\frac{\pi}2\)
- B \(\frac{\pi}{3}\)
- C \(\frac{\pi}{4}\)
- D \(\frac{\pi}{6}\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}2\)
Step-by-step Solution
Detailed explanation
Given, 3lm − 4ln + mn = 0 … (i) l + 2m + 3n = 0 … (ii) \(\Rightarrow \quad l=-2 m-3 n\) From Eq. (i), we get 3(− 2m − 3n)m − 4(− 2m − 3n) n + mn = 0 \(-6 m^2-9 n m+8 m n+12 n^2+m n=0\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(A(2,-1)\) and \(B(6,5)\) are two points the ratio in which the foot of the perpendicular from \((4,1)\) to \(A B\) divides it, isAP EAMCET 2007 Medium
- The integrating factor of \(x \frac{d y}{d x}+3 y=x^2\) isAP EAMCET 2020 Easy
- For \(|x| < 1\), the constant term in the expansion of \(\frac{1}{(x-1)^2(x-2)}\) isAP EAMCET 2009 Medium
- \(\int \frac{6 x^2-17 x-5}{(x+3)(x-2)^2} d x=\)AP EAMCET 2017 Easy
- AP EAMCET 2022 Hard
- AP EAMCET 2022 Hard
More PYQs from AP EAMCET
- \(\cos 12^{\circ} \cdot \cos 24^{\circ} \cdot \cos 36^{\circ} \cdot \cos 48^{\circ} \cdot \cos 72^{\circ} \cdot \cos 84^{\circ}=\)AP EAMCET 2023 Medium
- A person is known to speak false once out of 4 times. If that person picks a card at random from a pack of 52 cards and reports that it is a king, then the probability that it is actually a king isAP EAMCET 2024 Medium
- \(\lim _{n \rightarrow \infty} \frac{1}{n}\left(\frac{1}{e^{1 / n}}+\frac{1}{e^{2 / n}}+\frac{1}{e^{3 / n}}+\ldots+\frac{1}{e^2}\right)=\)AP EAMCET 2023 Medium
- Six faces of an unbiased die are numbered with \(2,3,5,7,11\) and 13 . If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number isAP EAMCET 2004 Medium
- If \(\int \frac{a \cos x+3 \sin x}{5 \cos x+2 \sin x} d x=\frac{26}{29} x-\frac{k}{29} \log |5 \cos x+2 \sin x|+c\), then \(|a+k|=\)AP EAMCET 2025 Medium
- The rank of the matrix \(\left[\begin{array}{ccc}1 & 0 & 2 \\ 0 & 1 & -2 \\ 1 & -1 & 4 \\ 2 & 2 & 8\end{array}\right]\) isAP EAMCET 2023 Medium