Download App

Line and Plane — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsLine and Plane1 Mark
MCQ
If the planes $\bar{r} \cdot(2 \bar{i}-\lambda \bar{j}+\bar{k})=3$ and $\bar{r} \cdot(4 \bar{i}-\bar{j}+\mu \bar{k})=5$ are parallel, then the

values of λ and μ are respectively.

  • A
    $\frac{1}{2},-2$
  • B
    $-\frac{1}{2}, 2$
  • C
    $-\frac{1}{2},-2$
  • ✓
    $\frac{1}{2}, 2$
✓

Answer

Correct option: D.
$\frac{1}{2}, 2$
$\frac{1}{2}, 2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Line and Plane→Line and Plane — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Let $f(x) = x^3$ be a function with domain $\{0, 1, 2, 3\}$. Then domain of $f^{-1}$ is:
→
If $\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=3 \pi$, then the value of $x^{2025}+x^{2026}+x^{2027}$ is
→
Write verbally ∼p∨q where
p: She is beautiful; q: She is clever
→
The vector equation of the plane perpendicula to the vector $3 \hat{i}-2 \hat{j}+3 \hat{k}$ and passing through a point having position vector $\hat{i}+\hat{j}+2 \hat{k}$ is
→
Let $\mathrm{f}(x)=\left\{\begin{array}{l}\frac{1}{x^2}, 1<x<\infty \\ 0, \text { otherwise }\end{array}\right.$ be the p.d.f. of a r.v. X. If $\mathrm{C}_1=\{x: 1<x<2\}$ and $\mathrm{C}_2=\{x: 4<x<5\}$, then $\mathrm{P}\left(\mathrm{C}_1 \cup \mathrm{C}_2\right)=$
→
The angle $\theta$ between two non-zero vectors $\overline{ a }$ and $\overline{ b }$ is given by $\cos \theta=$ _____
→
If $f(x)=\left\{\begin{array}{l}x \text { for } x \leq 0 \\ 0 \text { for } x > 0\end{array}\right.$ then $f(x)$ at $x=0$ is
→
The adjoint matrix of $\left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right]$ is
→
If the sum of the slopes of the lines given by $x^2-2 c x y-7 y^2=0$ is four times their product, then c has the value
→
The integrating factor of the differential equation $\text{x}\frac{\text{dy}}{\text{dx}}-\text{y}=2\text{x}^{2}.$
→