MCQs of Three Dimensional Geometry

Showing 21 to 30 out of 188 Questions

21.

The equation of the plane passing through (2,2,1) and (9,3,6) and which is perpendicular to the plane 2x + 6y + 6z - 1 = 0 is _____

22.

Equation of the plane passing through A (- 1, 2, 3) and B (3, - 5, 6) and which is parallel to the line \frac{x - 4}{2} = \frac{3 - y}{- 4} = \frac{z - 2}{5} is

_____

23.

The equation of plane passing through intersection of x + 2y + 3z = 4 and 2x + y - z = -5 and is perpendicular to 5x + 3y + 6z + 8 = 0 is _____

24.

The equation of plane passing through the origin and the line of intersection of x + 2y + 3z - 4 = 0 and 4x + 3y + 2z + 1 = 0 is ______

25.

If the direction cosines of the normal of plane are \frac{π}{4}, \frac{π}{4} and \frac{π}{2} and its perpendicular distance from origin is \sqrt{2} then what will be the equation of plane ?

26.

Distance of the plane from origin, which passes through (1, 1, 1) and is perpendicular to \frac{x - 1}{3} = \frac{y - 1}{0} = \frac{z - 1}{4} is

______

27.

Condition for the line r = a + k l, k \in R, to be parallel to the plane r \cdot n = d is

_____

28.

The three dimensional equation 3x - 4y = 0 denotes

29.

The equation of the plane which is perpendicular bisector of the line segment joining (2, 3, 4) and (6,7,8) is _____

30.

In which ratio the plane r \cdot (\hat{i} + 2 \hat{j} - 3 \hat{k}) = 17 divides the line joining the points - 2 \hat{i} + 4 \hat{j} - 7 \hat{k} and 3 \hat{i} + 5 \hat{j} + 8 \hat{k} ?

Showing 21 to 30 out of 188 Questions