MHT CET · Maths · Three Dimensional Geometry
If the foot of the perpendicular drawn from the origin to a plane is \(P(-1,-1,2)\), then equation of the plane is
- A \(x+y-2 z+6=0\)
- B \(2 x+y+z+1=0\)
- C \(x+y+2 z-2=0\)
- D \(x-y-z+2=0\)
Answer & Solution
Correct Answer
(A) \(x+y-2 z+6=0\)
Step-by-step Solution
Detailed explanation
Normal vector \(\vec{n} = \vec{OP} = \langle -1, -1, 2 \rangle\). Equation of plane: \(a(x-x_1) + b(y-y_1) + c(z-z_1) = 0\)
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
- If matrix \(\mathrm{A}=\left[\begin{array}{ll}1 & 2 \\ 4 & 3\end{array}\right]\) is such that \(\mathrm{AX}=\mathrm{I}\), where \(\mathrm{I}\) is \(2 \times 2\) unit matrix, then \(X=\)MHT CET 2022 Easy
- Let \(f\) be twice differentiable function such that \(\mathrm{f}^{\prime \prime}(x)=-\mathrm{f}(x), \mathrm{f}^{\prime}(x)=\mathrm{g}(x)\) and \(\mathrm{h}(x)=(\mathrm{f}(x))^2+(\mathrm{g}(x))^2\). If \(\mathrm{h}(5)=1\), then the value of \(h(10)\) isMHT CET 2024 Medium
- \(\int \frac{x^{2 x}}{(1+2 x)} d x=\)
(where C is a constant of integration.)MHT CET 2022 Medium - If \(A=\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -1\end{array}\right]\), then \(A^{4} A^{-1}=\)MHT CET 2020 Easy
- The equation of the curve passing through origin and satisfying \(\left(1+x^2\right) \frac{\mathrm{dy}}{\mathrm{d} x}+2 x y=4 x^2\) isMHT CET 2025 Medium
- \(\int e^x\left(\frac{x-1}{x^2}\right) d x=\)MHT CET 2021 Medium
More PYQs from MHT CET
- A body is projected from earth's with thrice the escape velocity from the surface of the earth. What will be its velocity when it will escape the gravitational pull?MHT CET 2021 Medium
- A simple pendulum performs simple harmonic motion about \(\mathrm{x}=0\) with an amplitude ' \(\mathrm{a}\) ' and time period ' \(T\) '. The speed of the pendulum at \(x=\frac{a}{2}\) isMHT CET 2023 Medium
- Which from following process does NOT results in coagulation?MHT CET 2025 Easy
- In hydrogen atom, ratio of the shortest wavelength in the Balmer series to that in the Paschen series isMHT CET 2024 Medium
- The displacement of a particle at time 't' is \(s=t^{3}-4 t^{2}-5 t\), then the velocity of
the particle at \(t=2 \mathrm{sec}\). isMHT CET 2020 Easy - Which of the following is NOT an antiseptic compound?MHT CET 2019 Easy