Question:
The equation of the plane parallel to the planes x + 2y + 3z – 5 = 0 and x + 2y + 3z – 7 = 0 and equidistant from them is
The equation of the plane parallel to the planes x + 2y + 3z – 5 = 0 and x + 2y + 3z – 7 = 0 and equidistant from them is
Updated On: Apr 27, 2024
- (A) x + 2y + 3z - 6 = 0
- (B) x + 2y + 3z - 1 = 0
- (C) x + 2y + 3z - 8 = 0
- (D) x + 2y + 3z - 3 = 0
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Explanation:
Also formula for the distance between two parallel planes All the given planes are parallel to each other, but only is equidistant from the planes and having the distance
Also formula for the distance between two parallel planes All the given planes are parallel to each other, but only is equidistant from the planes and having the distance
Was this answer helpful?
0
0
Top Questions on integral
- Evaluate the integral: $$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$
- Find the value of the integral: \[ \int_0^\pi \sin^2(x) \, dx. \]
- Evaluate the integral \( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)
- Evaluate the integral: $$ \int_0^1 \frac{\ln (1+x)}{1+x^2} \, dx $$
- Evaluate $ \int_{0}^{1} (3x^2 + 2x) \, dx $.
View More Questions
Questions Asked in WBJEE exam
- Which logic gate is represented by the following combination of logic gates?
- WBJEE - 2025
- Logic gates
- If \( {}^9P_3 + 5 \cdot {}^9P_4 = {}^{10}P_r \), then the value of \( 'r' \) is:
- WBJEE - 2025
- permutations and combinations
- If \( 0 \leq a, b \leq 3 \) and the equation \( x^2 + 4 + 3\cos(ax + b) = 2x \) has real solutions, then the value of \( (a + b) \) is:
- WBJEE - 2025
- Trigonometric Equations
- Let \( f(\theta) = \begin{vmatrix} 1 & \cos \theta & -1 \\ -\sin \theta & 1 & -\cos \theta \\ -1 & \sin \theta & 1 \end{vmatrix} \). Suppose \( A \) and \( B \) are respectively the maximum and minimum values of \( f(\theta) \). Then \( (A, B) \) is equal to:
- If \( a, b, c \) are in A.P. and if the equations \( (b - c)x^2 + (c - a)x + (a - b) = 0 \) and \( 2(c + a)x^2 + (b + c)x = 0 \) have a common root, then
- WBJEE - 2025
- Quadratic Equations
View More Questions