# Three Dimensional Geometry · Mathematics · WB JEE

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WB JEE 2023
If the distance between the plane $$\alpha x - 2y + z = k$$ and the plane containing the lines $${{x - 1} \over 2} = {{y - 2} \over 3} = {{z - 3} \ove... WB JEE 2023 The angle between a normal to the plane$$2x - y + 2z - 1 = 0$$and the X-axis is WB JEE 2022 The equation of the plane through the intersection of the planes x + y + z = 1 and 2x + 3y$$-$$z + 4 = 0 and parallel to the x-axis is WB JEE 2022 The line$$x - 2y + 4z + 4 = 0$$,$$x + y + z - 8 = 0$$intersect the plane$$x - y + 2z + 1 = 0$$at the point WB JEE 2021 If from a point P(a, b, c), perpendicular PA and PB are drawn to YZ and ZX-planes respectively, then the equation of the plane OAB is WB JEE 2021 A line with positive direction cosines passes through the point P(2,$$-$$1, 2) and makes equal angle with co-ordinate axes. The line meets the plane ... WB JEE 2021 The plane lx + my = 0 is rotated about its line of intersection with the plane z = 0 through an angle$$\alpha$$. The equation changes to WB JEE 2020 The equation of the plane through the point$$(2, - 1, - 3)$$and parallel to the lines$${{x - 1} \over 2} = {{y + 2} \over 3} = {z \over { - 4}}$$an... WB JEE 2020 The sine of the angle between the straight line$${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}$$and the plane$$2x - 2y + z = 5$$is WB JEE 2019 The direction ratios of the normal to the plane passing through the points (1, 2,$$-$$3), ($$-$$1,$$-$$2, 1) and parallel to$${{x - 2} \over 2} = {...
WB JEE 2019
The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is
WB JEE 2018
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 + ...
WB JEE 2018
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
WB JEE 2017
The equation of the plane through (1, 2, $$-$$3) and (2, $$-$$2, 1) and parallel to X-axis is
WB JEE 2017
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)

WB JEE 2021
A plane meets the co-ordinate axes t the points A, B, C respectively such a way that the centroid of $$\Delta$$ABC is (1, r, r2) for some real r. If t...
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