COMEDK · Maths · 34. Three Dimensional Geometry
\(\mathrm{P} \text { is a point on the line segment joining the points }(3,2,-1) \text { and }(6,2,-2) \text {. If the } x \text { co ordinate of } \mathrm{P} \text { is } 5 \text {, then its } \mathrm{y} \text { coordinate is }\)
- A \(-1\)
- B 2
- C \(-2\)
- D 1
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Let the points be \(A(3, 2, -1)\) and \(B(6, 2, -2)\). Let \(P(x, y, z)\) be a point on the line segment \(AB\) such that \(P\) divides \(AB\) in the ratio \(k:1\). Using the section formula, the coordinates of \(P\) are given by: \(x = \dfrac{k(6) + 1(3)}{k+1}\),…
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 the line \(p x+q y=0\) coincides with one of the lines given by \(a x^{2}+2 h x y+b y^{2}=0\), thenCOMEDK 2018 Easy
- If \(\left[\begin{array}{cc}-2 & 5 \\ 3 & -1\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{cc}1 & 2 \\ 3 & 4\end{array}\right]\left[\begin{array}{c}3 \\ -1\end{array}\right]\), then \((x, y)\) isCOMEDK 2014 Easy
- If \(\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}, \mathbf{c}=3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}-\hat{\mathbf{k}}\), then a vector perpendicular to \(a\) and in the plane containing \(b\) and \(c\) isCOMEDK 2020 Medium
- If \(\tan \theta=\frac{m}{n}\), then \(n \cos 2 \theta+m \sin 2 \theta\) is equal toCOMEDK 2012 Easy
- \(2^{3 n}-7 n-1\) is divisible byCOMEDK 2021 Easy
- If the angles of a triangle are in the ratio \(3: 4: 5\), then the sides are in the ratioCOMEDK 2016 Easy
More PYQs from COMEDK
- \(5\text{ g}\) of a non-volatile, water-soluble compound \(X\) is dissolved in \(100\text{ g}\) of water (\(K_b = 0.52\text{ K kg mol}^{-1}\)). The elevation in boiling point is found to be \(1.3\text{ K}\). The molar mass of compound \(X\) is:COMEDK 2023 Medium
- A plastic sheet (refractive index \(=1.6\) ) covers one slit of a double slit arrangement for the Young's experiment. When the double slit is illuminated by monochromatic light (wavelength \(=5867 Å\) ), the centre of the screen appears dark rather than bright. The minimum thickness of the plastic sheet to be used for this to happen isCOMEDK 2020 Medium
- Two moles of an ideal gas at 1 bar pressure and 298 K is expanded into vacuum to double the volume. The work done is:COMEDK 2025 Easy
- The ellipse \(\frac{x^{2}}{25}+\frac{y^{2}}{16}=1\) and the hyperbola \(\frac{x^{2}}{25}-\frac{y^{2}}{16}=1\) have in commonCOMEDK 2016 Easy
- Which of the following is most stable?COMEDK 2021 Medium
- A particle is moving eastward with a velocity \(5 \mathrm{~ms}^{-1}\). In \(10 \mathrm{~s}\) the velocity changes to \(5 \mathrm{~ms}^{-1}\) northwards. The average acceleration in this time isCOMEDK 2012 Medium