MHT CET · Maths · Three Dimensional Geometry
The equation of the plane passing through the point \((1,1,1)\) and through the line of intersection of \(x+2 y-z+1=0\) and \(3 x-y-4 z+3=0\) is
- A \(4 x-3 y-2 z+1=0\)
- B \(3 x-2 y+2 z-3=0\)
- C \(8 x-5 y-11 z+8=0\)
- D \(5 x-4 y+2 z-3=0\)
Answer & Solution
Correct Answer
(C) \(8 x-5 y-11 z+8=0\)
Step-by-step Solution
Detailed explanation
\((x+2 y-z+1) + \lambda (3 x-y-4 z+3) = 0\) \((1+2(1)-1+1) + \lambda (3(1)-1-4(1)+3) = 0\)
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
- An open metallic tank is to be constructed, with a square base and vertical sides, having volume 500 cubic meter. Then the dimensions of the tank, for minimum area of the sheet metal used in its construction, areMHT CET 2023 Easy
- If the equation of the median through vertex \(A(3, k)\) of \(\triangle A B C\) with vertices \(\mathrm{B}(2,1)\) and \(\mathrm{C}(-4,5)\) is \(x+4 \mathrm{y}=\mathrm{p}\), then \(\mathrm{k}=\) where p and k are constantsMHT CET 2025 Medium
- It is observed that of the cases related to child labour reported to the police station are solved. If new cases are reported, then the probability that atleast of them will be solved is ________MHT CET 2019 Medium
- Two dice are thrown simultaneously. If \(\mathrm{X}\) denotes the number of sixes, then the expectation of \(\mathrm{X}\) isMHT CET 2021 Medium
- The value of \(\lim _{x \rightarrow \infty} \frac{1+2+3 \ldots+n}{n^{2}}\) isMHT CET 2010 Easy
- If \(\sin ^{-1} \frac{1}{3}+\sin ^{-1} \frac{3}{5}+\sin ^{-1} x=\frac{\pi}{2} \quad\) then \(x=\)MHT CET 2025 Medium
More PYQs from MHT CET
- The heat energy that must be supplied to 14 gram of nitrogen at room temperature to raise its temperature by \(48^{\circ} \mathrm{C}\) at constant pressure is (Molecular weight of nitrogen \(=28, R=\) gas constant, \(C_p=\frac{7}{2} R\) for diatomic gas)MHT CET 2025 Easy
- \(\mathrm{y}=\mathrm{e}^x(\mathrm{~A} \cos x+\mathrm{B} \sin x)\) is the solution of the differential equationMHT CET 2025 Medium
- Just before fertilization, the angiosperm's embryo sac contains _______ and ______ nuclei.MHT CET 2024 Easy
- Which among the following halogens combines readily with metals to form metal halides with highest ionic character?MHT CET 2023 Easy
- The self-inductance \(L\) of a solenoid of length \(\lambda\) and area of crosssection \(A\) with a fixed number of turns \(N\) increases asMHT CET 2022 Easy
- Which one of the following nitrogen base is NOT a component of RNA?MHT CET 2023 Medium