WB JEE 2022 | Three Dimensional Geometry Question 4 | Mathematics

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WB JEE 2022

MCQ (Single Correct Answer)

-0.25

The line $$x - 2y + 4z + 4 = 0$$, $$x + y + z - 8 = 0$$ intersect the plane $$x - y + 2z + 1 = 0$$ at the point

$$( - 2,5,1)$$

$$(2, - 5,1)$$

$$(2,5, - 1)$$

$$(2,5,1)$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

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

bcx + cay + abz = 0

bcx + cay $$-$$ abz = 0

bcx $$-$$ cay + abz = 0

bcx $$-$$ cay $$-$$ abz = 0

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

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 2x + y + z = 9 at point Q. The length of the line segment PQ equals.

1 unit

$$\sqrt 2 $$ unit

$$\sqrt 3 $$ unit

2 unit

WB JEE 2021

MCQ (Single Correct Answer)

-0.5

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

$$lx + my \pm \tan \alpha \sqrt {{l^2} + {m^2}} = 0$$

$$lx + my \pm z\tan \alpha \sqrt {{l^2} + {m^2} + 1} = 0$$

$$lx + my \pm z\tan \alpha \sqrt {{l^2} + 1} = 0$$

$$lx + my \pm z\tan \alpha \sqrt {{l^2} + {m^2}} = 0$$

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