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## Three Dimensional Geometry

### Mathematics

#### Previous Years Questions

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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 2022
The equation of the plane through the intersection of the planes x + y + z = 1 and 2x + 3y $$-$$ z + 4 = 0 and parallel ...
WB JEE 2022
The plane lx + my = 0 is rotated about its line of intersection with the plane z = 0 through an angle $$\alpha$$. The eq...
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A line with positive direction cosines passes through the point P(2, $$-$$1, 2) and makes equal angle with co-ordinate a...
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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...
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The sine of the angle between the straight line $${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}$$ and the pl...
WB JEE 2020
The equation of the plane through the point $$(2, - 1, - 3)$$ and parallel to the lines$${{x - 1} \over 2} = {{y + 2} \o... WB JEE 2020 The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is WB JEE 2019 The direction ratios of the normal to the plane passing through the points (1, 2,$$-$$3), ($$-$$1,$$-$$2, 1) and paral... WB JEE 2019 The foot of the perpendicular drawn from the point (1, 8, 4) on the line joining the point (0,$$-$$11, 4) and (2,$$-$$... WB JEE 2018 A point P lies on a line through Q(1,$$-$$2, 3) and is parallel to the line$${x \over 1} = {y \over 4} = {z \over 5}$$... WB JEE 2018 Three lines are drawn from the origin O with direction cosines proportional to (1,$$-$$1, 1), (2,$$-$$3, 0) and (1, 0,... WB JEE 2017 The equation of the plane through (1, 2,$$-$$3) and (2,$$-$$2, 1) and parallel to X-axis is WB JEE 2017 ## MCQ (More than One Correct Answer) More A plane meets the co-ordinate axes t the points A, B, C respectively such a way that the centroid of$$\DeltaABC is (1...
WB JEE 2021

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