AP EAMCET · Maths · Three Dimensional Geometry
Find the angle between the planes \(x+2 y+2 z-5=0\) and \(3 x+3 y+2 z-8=0\)
- A \(\cos ^{-1}\left(\frac{3}{\sqrt{22}}\right)\)
- B \(\cos ^{-1}\left(\frac{13}{3 \sqrt{22}}\right)\)
- C \(\cos ^{-1}\left(\frac{1}{3 \sqrt{22}}\right)\)
- D \(\cos ^{-1}\left(\frac{13}{31}\right)\)
Answer & Solution
Correct Answer
(B) \(\cos ^{-1}\left(\frac{13}{3 \sqrt{22}}\right)\)
Step-by-step Solution
Detailed explanation
Equation of given planes are \[ \text { and } \quad 3 x+3 y+2 z-8=0 \] \[ x+2 y+2 z-5=0 \] So, angle between them is…
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
- AP EAMCET 2021 Hard
- The distance between the directrices of the ellipse \(\frac{x^2}{36}+\frac{y^2}{20}=1\) isAP EAMCET 2022 Easy
- The mean deviation about the median for the following data \(6,3,4,9,2,7\) and 11 isAP EAMCET 2022 Easy
- If \(f: R \rightarrow[-1,1]\) and \(g: R \rightarrow A\) are two surjective mappings and \(\sin \left(g(x)-\frac{\pi}{3}\right)=\frac{f(x)}{2} \sqrt{4-f^2(x)}\), then \(A=\)AP EAMCET 2018 Hard
- \(\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{x+\frac{\pi}{4}}{2-\cos 2 x}\right) d x\) is equal toAP EAMCET 2016 Hard
- The radius of the circle \(r=12 \cos \theta+5 \sin \theta\) isAP EAMCET 2012 Easy
More PYQs from AP EAMCET
- Statement (A) Two artificial satellites revolving in the same circular orbit have same period of revolution.
Statement (B) The orbital velocity is inversely proportional to the square root of radius of the orbit.
Statement (C) The escape velocity of the body is independent of the altitude of the point of projection.AP EAMCET 2022 Medium - The focal length of the objective lens of a telescope is 30 cm and that of its eye lens is 3 cm. It is focused on a scale at a distance 2 m from it. The distance of objective lens from eye lens to see the clear image isAP EAMCET 2024 Medium
- The slope of the common tangent drawn to the circles \(x^2+y^2-4 x+12 y-216=0\) and \(x^2+y^2+6 x-12 y+36=0\) isAP EAMCET 2025 Medium
- If \(\int x^3 e^{5 x} d x=\frac{e^{5 x}}{5^4}[f(x)]+C\), then \(f(x)\) is equal toAP EAMCET 2016 Medium
- If \(y=\log _y x\), then \(\frac{d y}{d x}\) is equal toAP EAMCET 2021 Easy
- In \(\triangle \mathrm{ABC}\), if \(\mathrm{a}^2 \sin ^2 \frac{\mathrm{C}}{2}+\mathrm{c} \sin ^2 \frac{\mathrm{A}}{2}=\frac{\mathrm{b}}{2}\), then \(\mathrm{a}+\mathrm{c}: \mathrm{b}=\)AP EAMCET 2023 Easy