Question:
Equation of a plane parallel to the plane \( 9x - 8y + 7z = 10 \) is:
Equation of a plane parallel to the plane \( 9x - 8y + 7z = 10 \) is:
Show Hint
For parallel planes, the normal vectors are the same, but the constant term varies. Simply adjust the constant term while keeping the direction ratios the same.
Updated On: Sep 13, 2025
- \( 9x - 8y - 7z = 5 \)
- \( 9x - 8y + 7z = 5 \)
- \( 9x + 8y + 7z = 5 \)
- \( 9x - y + 7z = 5 \)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The equation of a plane parallel to another plane is obtained by keeping the same direction ratios for the normal vector, but changing the constant. Here, the normal vector of the given plane is \( (9, -8, 7) \). For a plane parallel to this one, we keep the same direction ratios but change the constant to get \( 9x - 8y + 7z = 5 \).
Was this answer helpful?
0
0
Top Questions on Geometry
- Let $ABCDEF$ be a regular hexagon and $P$ and $Q$ be the midpoints of $AB$ and $CD$, respectively. Then, the ratio of the areas of trapezium $PBCQ$ and hexagon $ABCDEF$ is:
- In a $\triangle ABC$, points $D$ and $E$ are on the sides $BC$ and $AC$, respectively. $BE$ and $AD$ intersect at point $T$ such that $AD : AT = 4 : 3$, and $BE : BT = 5 : 4$. Point $F$ lies on $AC$ such that $DF$ is parallel to $BE$. Then, $BD : CD$ is:
- ABCD is a trapezium in which AB is parallel to DC, AD is perpendicular to AB, and $AB = 3DC$. If a circle inscribed in the trapezium touching all the sides has a radius of 3 cm, then the area, in sq. cm, of the trapezium is
- If the length of a side of a rhombus is 36 cm and the area of the rhombus is 396 sq. cm, then the absolute value of the difference between the lengths, in cm, of the diagonals of the rhombus is:
- A triangle $ABC$ is formed with $AB = AC = 50 \text{ cm}$ and $BC = 80 \text{ cm}$. Then, the sum of the lengths, in cm, of all three altitudes of the triangle $ABC$ is
View More Questions
Questions Asked in Bihar Board XII exam
- Have you .................. Amrita?
( Choose the correct option )- Bihar Board XII - 2025
- Grammar and Language Usage
- Who was in favour of Partyless Democracy?
- Bihar Board XII - 2025
- Political Parties
- The distance between two charges is made half and one of the charges is also halved. The force acting between the two will become as compared to previous value.
- Bihar Board XII - 2025
- Electrostatics
- "I have a dream that my four little children will one day live in a nation where they will not be judged by the colour of their skin but by the content of their character."
- Bihar Board XII - 2025
- Literature
- Who were known as the University Wits ?
- Bihar Board XII - 2025
- Literature
View More Questions