Question

The intercepts made by the plane $2x-3y+5z+4=0$ on the coordinate axes are _____________.

Answer 1

For given plane 2x − 3y + 5z = −4
Intercept on x -axis will be given by y = 0 and z = 0
i.e. 2x = −4
i.e. x = (2)
i.e. x = −2 is the x-intercept
Intercept on y-axis will be given by x = 0 and z = 0
i.e. −3y = −4
i.e. $y=\frac{4}{3}$ is the y-intercept
and for z-intercept will be given by x = 0 and y = 0
i.e. 5z = −4
i.e. $z=\frac{-4}{5}$ is the z-intercept
∴ $-2,\frac{4}{3}\mathrm{and}\frac{-4}{5}$ are the intercept made by the plane 2x − 3y + 5z + 4 = 0 on the co-ordinate axes.