Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Three Dimensional Geometry
0 votes

Choose the correct answer. The planes: 2x – y + 4z = 5 and 5x – 2.5y + 10z = 6 are:

\[ \begin{array} ((A)\, Perpendicular \qquad& (B)\, Parallel \\[0.5em] (C)\,intersect \;on\: y-axis\qquad& (D)\,passes \:through\: the \:point\: (0,0,\frac{5}{4}) \end{array}\]
Can you answer this question?

1 Answer

0 votes
  • For the given planes $a_1x+b_1y+c_1z+d_1=0$ and $a_2x+b_2y+c_2z+d_2=0$ if $\large\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ then the planes are parallel.
The given planes are $ 2x-y+4z=5$
$5x-2.5 y +10z=6$
Let us compare the coefficient of both the planes
The ratio is $\large\frac{1}{2.5}$
If $ \large\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ in the two planes
$a_1x +b_1y+c_1z=d_1$
$a_2x +b_2y+c_2z=d_2$
Then the planes are parallel.
Since this condition is satisfied.
Therefore the given planes are parallel.
Therefore option $B$ is correct answer
answered Jun 6, 2013 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App