AP EAMCET · Maths · Three Dimensional Geometry
If the equation of the plane passing through the point and perpendicular to the vector is then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given, The plane passes through -2,1,3 and is perpendicular to vector 3i^+j^+5k^ ∴ Equation of plane is 3x+y+5z=λ passes through -2,1,3 So, 3x+y+5z=λ passes through -2,1,3 ∴3×-2+1+5×3=λ ⇒-6+1+15=λ⇒10=λ ∴ Equation…
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 \(\frac{1+\sqrt{3} i}{2}\) is a root of the equation \(x^4-x^2+x-1=0\). Then, its real roots areAP EAMCET 2002 Easy
- 3 out of 6 vertices of a regular hexagon are chosen at a time at random. The probability that the triangle formedwith these three vertices is an equilateral triangle, isAP EAMCET 2016 Easy
- If the equation of the circle lying in the first quadrant, touching both the coordinate axes and the line \(\frac{x}{3}+\frac{y}{4}=1\) is \((x-c)^2+(y-c)^2=c^2\), then \(c=\)AP EAMCET 2025 Medium
- Let \(\pi\) be the plane passing through the point \((3,-3,1)\) and perpendicular to the line joining the points \((3,4,-1)\) and \((2,-1,5)\). If the equation of the plane containing the points \((3,4,-1),(-1,2,5)\) and perpendicular to the plane \(\pi\) is \(a x+y+c z-d=0\), then \(3(a+c)=\)AP EAMCET 2022 Hard
- If \(A=\left[\begin{array}{rr}-8 & 5 \\ 2 & 4\end{array}\right]\) satisfies the equation \(x^2+4 x-p=0\), then \(p\) is equal toAP EAMCET 2013 Medium
- Find the number of different garlands that can be prepared using 5 different coloured flowers.AP EAMCET 2020 Easy
More PYQs from AP EAMCET
- If \(\mathrm{I}_{\mathrm{n}}=\int_0^{\frac{\pi}{4}} \tan ^n x d x\), then \(\mathrm{I}_{13}+\mathrm{I}_{11}=\)AP EAMCET 2024 Medium
- Current sensitivities of two galvanometers \(\mathrm{G}_1\) and \(\mathrm{G}_2\) of resistances \(100 \Omega\) and \(50 \Omega\) are \(10^8 \mathrm{div} / \mathrm{A}\) and \(0.5 \times 10^5 \mathrm{div} / \mathrm{A}\) respectively. The galvanometer in which the voltage sensitivity is more isAP EAMCET 2024 Hard
- If \(A=\left[\begin{array}{lll}x & 2 & 1 \\ 2 & x & 1 \\ 2 & 1 & 0\end{array}\right]\) and \(\operatorname{det}\left(A^3\right)=125\), then \(x=\)AP EAMCET 2022 Easy
- Which of the following belongs to benzylic alcohol type?AP EAMCET 2023 Easy
- A line is passing through the point \((4,3)\) and the sum of its intercepts made on the coordinate axes is 14 . Then an equation of that line isAP EAMCET 2018 Medium
- A ball is thrown upward from the top of a building at angle of \(30^{\circ}\) to the horizontal with an initial speed of 15 \(\mathrm{ms}^{-1}\). If the ball hits the ground after \(3 \mathrm{~s}\), then the height of building is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )AP EAMCET 2022 Medium