JEE Main 2019 (Online) 11th January Morning Slot | 3D Geometry Question 172 | Mathematics

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

-1

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

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

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

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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