Question

If the lengths of the intercepts on the $x,y,z$ axes made by the plane $5x+2y+z-13=0$ respectively are $a,b,c.$ Then which of the following statement(s) is/are correct?

• A. $5a-2b=0$
• B. $4b-2c=0$
• C. $2c-10a=0$
• D. $10(a+b-c)=0$

Answer 1

Answer: (A), (B), (C)

$2c-10a=0$

Given equation of plane :
$5x+2y+z-13=0$
converting into intercept form:
$\frac{x}{13/5}+\frac{y}{13/2}+\frac{z}{13}=1$
$\Rightarrow a=\frac{13}{5},b=\frac{13}{2},c=13$