What are the intercepts made by the plane 2x 4y 3z 12 on coordinate axes?

The intercepts of the plane 2x-3y+4z=12 on the coordinate axes are given by. ∴ Intercepts are 6,-4,3.

Which point does not lie in the half plane?

Hence, (2, 3) is the point which doesn’t lie in the half plane. So, the correct answer is “Option C”.

What are intercepts of a plane?

Intercept form of the Equation of the Plane Let us assume that the plane makes intercepts of a, b and c on the three co-ordinate axes respectively. Thus, the coordinates of the point of intersection of the plane with x, y and z axes are given by (a, 0, 0), (0, b, 0) and (0, 0, c) respectively.

Which of the following points does not lie on the line 3y 2x?

(d) (−5, 5) So, the point (-5,5) does not lie on the equation.

What is a half plane in math?

A half-plane is a planar region consisting of all points on one side of an infinite straight line, and no points on the other side. If the points on the line are included, then it is called an closed half-plane. If the points on the line are not included, then it is called an open half-plane.

What is the intercept equation of a plane?

Intercept form of the equation of a plane. The general equation ax + by + cz + d = 0 of first degree in x, y, z represents a plane. Let the plane ⋅ = q meets the coordinate axes at A,B,C respectively such that the intercepts on the axes are OA = a, OB = b, OC = c .

What is the meaning of intercept in maths?

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.

What is the intercept of a plane?

It is known that the equation of a plane in intercept form is, (x/a) +(y/b) +(c/z) =1, wherea, b, c are the intercepts cut off by the plane at x, y, z axes respectively. Therefore a=(5/2), b =5, and c=-5.

Which of the following points does not lie on the line 3y 2x − 5?

So, the point (-5,5) does not lie on the equation.