Question

Check my work? which statement is true?

Answer 1

The fourth one

Explanation:

If I understood correctly, this is the figure:

As you can see, `PA`, `PB` and `AB` have all different lengths, so answer `2` and `3` are wrong.

In general, we know that everytime you draw a tangent line to a circle, and the line intersects the circle in a certain point `A`, then the line and the radius passing through `A` will be perpendicular.

So, in this case, the line in which `AB` lies and the radius `PA` are perpendicular, and thus `PAB` is a right triangle.

Answer 2

Answer should be 4(`/_`PAB is a right angle)

Explanation:

Dear hjjhk,
According to me,correct answer should be 4(`/_`PAB is a right angle).

• REASON:

The question states as-

Where, `bar(PA)` denotes the radius.
`bar(AB)` denotes the tangent to the circle.
The a Radius Perpendicular Theorem states, Radius is always perpendicular to the tangent.

1. Option 1:
   Option 1 is impossible as it is always right angle.

2. Option 2:
   Option 2 is not correct in any sense because point `B` lies out of the circle as tangent is drawn to the circle. So, radius `PA` cannot be equal to `PB`.

3. Option 3:
   Option 3 may be correct in limiting case but it is not always correct.

4. Option 4:
   Option 4 must be correct because Radius is always perpendicular to the tangent.