Point A lies outside of plane P. How many lines can be drawn perpendicular to plane P through point A?

Mathematics

2 answers:

qaws [65]2 years ago

7 0

Answer:

The correct option is D.

Step-by-step explanation:

Given information: Point A lies outside of plane P.

Definition of Plane : A plane is a two-dimensional, flat surface that extends infinitely far.

Line perpendicular to a plane means, the line makes 90° angle with the plane.

Let as assume if a line passes through a point A and perpendicular to the plane P, then the number of possible lines are two.

It means line is perpendicular on two points of the plane,i.e., P₁ and P₂.

Since both line as perpendicular, therefore the length of line segment is same.

$AP_1=AP_2$

It is only possible, when

$P_1=P_2$

If a line passes through a point A and perpendicular to the plane P, then the number of possible lines is 1.

Therefore the correct option is D.

Ivanshal [37]2 years ago

3 0

Answer

D) 1

Explanation

A perpendicular line makes a angle of 90° with a line or a plane.

If a line is to be drawn from a point to a line or a plain it can only be one. In this case a line is to be drawn through a point A to a plane P. If the line is to be perpendicular, then is is only one.

From the choices, the appropriate answer is D) 1

You might be interested in

Four less than three times a number is three more than two times the number. What is the number?

MAXImum [283]

Hello!

Say that n is the number. There are two parts to this statement. The first part is "four less than three times a number", and the second is "is three more than two times the number. An expression fitting the first part will go on the left side of the equation, and the second part will go on the right.

Look at the first part. "Four less than three times a number". The first thing being done here is the three times a number. This would be 3n, as it is 3 times n. Now, there is the four less part. You would therefore have to subtract 4 from 3n, to get 3n - 4.

Now the second part. "Is three more than two times the number". The first thing being done here is the two times the number. That would be 2n. The next is "is three more than". If the other side is three more than 2n, then you must add 3 to 2n to make them equivalent. Therefore, it would be 2n + 3.

Now, set them equal to each other, and solve.

3n - 4 = 2n + 3

3n - 2n = 3 + 4

n = 7

Therefore, your number is 7.

Hope this helps!

5 0

3 years ago

Isthere 100 inches in 8 foot

Ivan

No there are 96 inches in 8 feet because,
12 inches = 1 foot
12 x 8 = 96
so there are 96 inchs in 8 feet

8 0