Question

The intercept cut off on the \(x\)-axis by the plane \(3x+4y+5z=13\) is

• A. \(\dfrac{3}{13}\)
• B. \(\dfrac{13}{3}\)
• C. \(\dfrac{13}{4}\)
• D. \(\dfrac{13}{5}\)

Hint:

To find the $x$-intercept of a plane, set $y=z=0$ and solve for $x$.

Answer 1

The Correct Option is B

On the \(x\)-axis \(y=z=0\). Substitute into the plane: \[ 3x=13\Rightarrow x=\frac{13}{3}. \] That is the \(x\)-intercept.