WB JEE
Mathematics
Three Dimensional Geometry
Previous Years Questions

The equation of the plane through the intersection of the planes x + y + z = 1 and 2x + 3y $$-$$ z + 4 = 0 and parallel to the x-axis is
The line $$x - 2y + 4z + 4 = 0$$, $$x + y + z - 8 = 0$$ intersect the plane $$x - y + 2z + 1 = 0$$ at the point
If from a point P(a, b, c), perpendicular PA and PB are drawn to YZ and ZX-planes respectively, then the equation of the plane OAB is
A line with positive direction cosines passes through the point P(2, $$-$$1, 2) and makes equal angle with co-ordinate axes. The line meets the plane ...
The plane lx + my = 0 is rotated about its line of intersection with the plane z = 0 through an angle $$\alpha$$. The equation changes to
The equation of the plane through the point $$(2, - 1, - 3)$$ and parallel to the lines$${{x - 1} \over 2} = {{y + 2} \over 3} = {z \over { - 4}}$$ an...
The sine of the angle between the straight line $${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}$$ and the plane $$2x - 2y + z = 5$$ is
The direction ratios of the normal to the plane passing through the points (1, 2, $$-$$3), ($$-$$1, $$-$$2, 1) and parallel to $${{x - 2} \over 2} = {... The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is A point P lies on a line through Q(1,$$-$$2, 3) and is parallel to the line$${x \over 1} = {y \over 4} = {z \over 5}$$. If P lies on the plane 2x + ... The foot of the perpendicular drawn from the point (1, 8, 4) on the line joining the point (0,$$-$$11, 4) and (2,$$-$$3, 1) is The equation of the plane through (1, 2,$$-$$3) and (2,$$-$$2, 1) and parallel to X-axis is Three lines are drawn from the origin O with direction cosines proportional to (1,$$-$$1, 1), (2,$$-$$3, 0) and (1, 0, 3). The three lines are ## MCQ (More than One Correct Answer) A plane meets the co-ordinate axes t the points A, B, C respectively such a way that the centroid of$$\DeltaABC is (1, r, r2) for some real r. If t...
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