JEE Main 2019 (Online) 11th January Morning Slot | 3D Geometry Question 293 | Mathematics

The plane containing the line $${{x - 3} \over 2} = {{y + 2} \over { - 1}} = {{z - 1} \over 3}$$ and also containing its projection on the plane 2x + 3y $$-$$ z = 5, contains which one of the following points ?

($$-$$ 2, 2, 2)

(2, 2, 0)

(2, 0, $$-$$ 2)

(0, $$-$$ 2, 2)

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

The direction ratios of normal to the plane through the points (0, –1, 0) and (0, 0, 1) and making an angle $${\pi \over 4}$$ with the plane y $$-$$ z + 5 = 0 are :

2, $$-$$1, 1

$$2\sqrt 3 ,1, - 1$$

$$\sqrt 2 ,1, - 1$$

$$\sqrt 2 , - \sqrt 2 $$

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

On which of the following lines lies the point of intersection of the line, $${{x - 4} \over 2} = {{y - 5} \over 2} = {{z - 3} \over 1}$$ and the plane, x + y + z = 2 ?

$${{x - 4} \over 1} = {{y - 5} \over 1} = {{z - 5} \over { - 1}}$$

$${{x - 2} \over 2} = {{y - 3} \over 2} = {{z + 3} \over 3}$$

$${{x - 1} \over 1} = {{y - 3} \over 2} = {{z + 4} \over { - 5}}$$

$${{x + 3} \over 3} = {{4 - y} \over 3} = {{z + 1} \over { - 2}}$$

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

The plane which bisects the line segment joining the points (–3, –3, 4) and (3, 7, 6) at right angles, passes through which one of the following points ?

(2, 1, 3)

(4, $$-$$ 1, 2)

(4, 1, $$-$$ 2)

($$-$$ 2, 3, 5)

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