List of top Mathematics Questions on Distance of a Point from a Plane asked in MHT CET

Find the distance between the point \(2\hat{i} + \hat{j} - \hat{k}\) and the plane \(\vec{r} \cdot (\hat{i} - 2\hat{j} + 4\hat{k}) = 9\).

Determine the distance of the point \( (1,2,3) \) from the plane \( 2x + 3y - z = 7 \).

The coordinates of the foot of the perpendicular from the origin to the plane $2x - 3y - 6z = 4$ are

The distance between the line \( \mathbf{r} = 3\hat{i} - 2\hat{j} + \hat{k} + \lambda (\hat{i} + \hat{j} + \hat{k}) \) and the plane \( \mathbf{r} \cdot (2\hat{i} + \hat{j} + \hat{k}) = 4 \) is:

The mirror image of the point $P(-1, 2, -4)$ in the plane $x - y - 2z + 1 = 0$ is ______.

The distance of the point $A(3,-4,5)$ from the plane $2x+5y-6z=16$ measured along the line $\frac{x}{2}=\frac{y}{1}=\frac{z}{-2}$ is}

The distance of the point ( (5, 3, -1) ) from the plane passing through points ( (2, 1, 0), (3, -2, 4) ) and ( (1, -3, 3) ) is

The distance of the point ( (5, 3, -1) ) from the plane passing through points ( (2, 1, 0), (3, -2, 4) ) and ( (1, -3, 3) ) is

The distance of the point ( (5, 3, -1) ) from the plane passing through points ( (2, 1, 0), (3, -2, 4) ) and ( (1, -3, 3) ) is

Equation of planes parallel to the plane $x - 2y + 2z + 4 = 0$ which are at a distance of one unit from the point $(1, 2, 3)$ are

The coordinates of the foot of the perpendicular drawn from the origin to the plane $2x + y - 2z = 18$ are