MHT CET · Maths · Three Dimensional Geometry
The length of the perpendicular from the origin to the plane \(\bar{r}\). \((3 \hat{i}-4 \hat{j}+12 \hat{k})=8\) is
- A 8 units
- B \(\frac{13}{8}\)
- C \(\frac{8}{13}\)
- D 13 units
Answer & Solution
Correct Answer
(C) \(\frac{8}{13}\)
Step-by-step Solution
Detailed explanation
The required length of perpendicular \(=\frac{8}{\sqrt{3^2+(-4)^2+12^2}}=\frac{8}{13}\)
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 equation of the curve passing through the point \((0,-2)\) given that at any point \((x, y)\) on the curve, the product of the slope of its tangent and \(y\)-co-ordinate of the point is equal to the \(x\)-co-ordinate of the point, isMHT CET 2022 Medium
- \(\bar{a}=\hat{i}+\hat{j}+\hat{k}, \bar{b}=4 \hat{i}-2 \hat{j}+3 \hat{k}, \bar{c}=\hat{i}-2 \hat{j}+\hat{k}\), then \(a\) vector of magnitude 6 units, which is parallel to the vector \(2 \bar{a}-\bar{b}+3 c\), isMHT CET 2024 Easy
- The distance between the lines represented by
\(16 x^2+9 y^2+48 x-24 x y-36 y+35=0\)
is ...... unitsMHT CET 2025 Hard - If \(x \cdot \log _{\mathrm{e}}\left(\log _{\mathrm{e}} x\right)-x^2+\mathrm{y}^2=4(\mathrm{y}>0)\), then \(\frac{\mathrm{dy}}{\mathrm{d} x}\) at \(x=\mathrm{e}\) isMHT CET 2025 Medium
- The equation of normal to the curve \(\mathrm{y}=\sin \left(\frac{\pi x}{4}\right)\) at the point \((2,5)\) isMHT CET 2020 Easy
- In \(\triangle A B C\), with usual notations, if \(\cos \frac{B}{2}=\sqrt{\frac{c+a}{2 a}}\), then \(a^2=\)MHT CET 2025 Medium
More PYQs from MHT CET
- Which nitrogen atom of purine base is bonded with furanose forming nucleoside?MHT CET 2022 Medium
- A spherical solid ball of volume \(V\) is made up of material of density \(\rho\). It is falling through a liquid of density \(\sigma(\sigma<\rho)\). Assume that the liquid applies a viscous force on the ball that is proportional to square of the terminal speed \(v_{\mathrm{T}}, F=-K v_{\mathrm{T}}^2, \forall(K>0)\), then the terminal speed of the ball is ( \(g=\) acceleration due to gravity)MHT CET 2022 Hard
- If \((1+\sqrt{1+x}) \tan x=1+\sqrt{1-x}\), then \(\sin 4 x\) isMHT CET 2023 Medium
- Calculate the quantity of electricity required to liberate 0.1 mole of chlorine gas during electrolysis of molten sodium chloride.MHT CET 2024 Medium
- In Young's double slit experiment, the slits are separated by 0.6 mm and screen is placed at a distance of 1.2 m from slit. It is observed that the tenth bright fringe is at a distance of 8.85 mm from the third dark fringe on the same side. The wavelength of light used isMHT CET 2024 Medium
- \(\int_0^1 x(1-x)^n d x=\)MHT CET 2022 Medium