AP EAMCET · Maths · Three Dimensional Geometry
The direction cosines of the line joining the points and are
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Let P=-2,4,-5 and Q=1,2,3 Direction ratio of PQ→=3,-2,8 Direction Cosine=PQ→PQ→=l,m,n l=332+-22+82=377 similarly m=-277,n=877 l,m,n=377,-277,877
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
- The pair of lines joining the origin to the points of intersection of the line \(x-y=2\) with the curve \(5 x^2+12 x y-8 y^2+8 x-4 y+12=0\) are equally inclined to the pair of linesAP EAMCET 2017 Hard
- If \(\alpha, \beta\) are the roots of \(a x^2+b x+c=0\), then the quadratic equation whose roots are \(\sqrt{5} \alpha, \sqrt{5} \beta\) isAP EAMCET 2022 Easy
- \(\mathrm{A}(2,3), \mathrm{B}(3,-5)\) are two vertices of \(\triangle \mathrm{ABC}\). If the centroid of the \(\triangle \mathrm{ABC}\) moves on the line \(2 x+y-2=0\), then the locus of \(\mathrm{C}\) isAP EAMCET 2017 Hard
- Let \(x, y, z\) be real numbers and \(x \geq y \geq z \geq \frac{\pi}{12}\). If \(x+y+z\) \(=\frac{\pi}{2}\), then the minimum value of \(\cos x \cdot \sin y \cdot \cos z\) isAP EAMCET 2022 Hard
- If the vectors \(a \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{i}}+b \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\hat{\mathbf{i}}+\hat{\mathbf{j}}+c \hat{\mathbf{k}}\) are coplanar, where \((a, b, c \neq 1\) ), then the value of \(\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=\)AP EAMCET 2020 Easy
- Let \(S_n=1+3 x+9 x^2+27 x^3+\ldots n\) terms and \(-\frac{1}{3} < x < \frac{1}{3}\) If \(\lim _{\mathrm{n} \rightarrow \infty} \mathrm{S}_{\mathrm{n}}=\mathrm{f}(\mathrm{x})\), then \(\mathrm{f}(\mathrm{x})\) is discontinuous at the point \(\mathrm{x}=\)AP EAMCET 2023 Medium
More PYQs from AP EAMCET
- A wire is first bent in the form of a circular coil of 5 turns and the same wire is then bent in the form of another circular coil of 10 turns. If same current is passed in both the coils, then the ratio of the magnetic fields at their centres isAP EAMCET 2023 Easy
- In which of the following coordination compounds, the central metal ion is in zero oxidation state?AP EAMCET 2015 Easy
- Ferrous ion charges to \(X\) ion, on reacting with acidified hydrogen peroxide.
The number of \(d\)-electrons present in \(X\) and its magnetic moment (in BM) are, respectively :AP EAMCET 2003 Easy - A particle is released from a height \(H\). At a certain height, its kinetic energy is half of its potential energy with reference to the surface of the earth. Height and speed of the particle at that instant are respectivelyAP EAMCET 2018 Easy
- A radiation of \(3.8 \mathrm{eV}\) falls on a metal surface to produce photo electrons. These electrons are made to enter a magnetic field of \(2 \times 10^{-4} \mathrm{~T}\). If the radius of the largest circular path followed by these electrons is \(30 \mathrm{~mm}\), then work function of the metal is
(Mass of electron \(\mathrm{m}_{\mathrm{e}}=9 \times 10^{-31} \mathrm{~kg}\) )AP EAMCET 2022 Medium - If \(I\) is the identity matrix of order 2 and \(A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]\), then for \(n \geq 1\), mathematical induction givesAP EAMCET 2013 Medium