Question
Write the general equation of a plane parallel to X-axis.
✓
Answer
The general equation of a plane is
ax + by + cz + d = 0 .....(i)
This plane is parallel to the X-axis.
It means that this plane passes through the point (0, y, z). So,
a(0) + by + cz + d = 0
⇒ by + cz + d = 0
ax + by + cz + d = 0 .....(i)
This plane is parallel to the X-axis.
It means that this plane passes through the point (0, y, z). So,
a(0) + by + cz + d = 0
⇒ by + cz + d = 0
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
For a 2×2 matrix A = [aij] whose elements are given by $\text{a}_{\text{ij}}=\frac{\text{i}}{\text{j}}$
, write the value of a12.
→, write the value of a12.Write a value of $\int\frac{(\tan^{-1}\text{x})^3}{1+\text{x}^2}\text{dx}$
→Find the second-order derivatives of the function x2 + 3x + 2
Two groups are competing for the position on the Board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probability of introducing a new product is 0.7 and the corresponding probability if 0.3, if the second group wins. Find the probability that the new product introduced was by the second group.
The sales figure of two car dealers during January 2013 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January-February revealed that dealer A sold 8 deluxe 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2 × 3 matrices summarizing sales data for January and 2-month period for each dealer.
Find the magnitude of the vector $\vec{\text{a}}=2\hat{\text{i}}+3\hat{\text{j}}-6\hat{\text{k}}$.
→Find the maximum and minimum value, g(x) = -|x + 1| + 3
Find the general solution of the differential equation $\frac{d y}{d x}=\sin ^{-1} x$
→Write the identity element for the binary operation * on the set R0 of all non-zero real numbers by the rule $\text{a}\times\text{b}=\frac{\text{ab}}{2}$ for all a, b ∈ R0.
→Find the value of x, if:
$\begin{vmatrix}2\text{x}&5\\8&\text{x}\end{vmatrix}=\begin{vmatrix}6&5\\8&3\end{vmatrix}$
→$\begin{vmatrix}2\text{x}&5\\8&\text{x}\end{vmatrix}=\begin{vmatrix}6&5\\8&3\end{vmatrix}$