In Fig.1, PA and PB are two tangents drawn from an external point P to a circle with centre C radius 4 cm. if $P A ⊥ P B,$ then the length of each tangent is:

3 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
4 cm

Since, $A P ⊥ P B$ , $C A ⊥ A P$ , $C B ⊥ B P$ and AC = CB = radius of the circle, therefore APBC is a square having side equal to 4 cm.

Therefore, length of each tangent is 4 cm.

The correct answer is 4 cm which is given by option B.

Suggest Corrections

Similar questions

Q. In fig.,

P A

and

P B

are two tangents drawn from an external point

P

to a circle with centre C and radius

4 c m

. If

P A

⊥

PB, then the length of each tangent is:

PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA & PB are perpendicular to each other, then the length of each tangent is:

Q. PA and PB are two tangents drawn from an external point P to a circle with centre O. If ∠PBA = 65°, then ∠APB = _______.

Q. If two tangents PA and PB are drawn to a circle with centre O from an external point P (figure), then match the column.

From an external point P, tangents PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn, which intersects PA and PB at C and D respectively. If $P A = 14 c m$ , find the perimeter of $Δ P C D .$

Join BYJU'S Learning Program

In Fig.1, PA and PB are two tangents drawn from an external point P to a circle with centre C radius 4 cm. if PA⊥PB, then the length of each tangent is:

The correct option is B 4 cm Since, AP⊥PB, CA⊥AP, CB⊥BP and AC = CB = radius of the circle, therefore APBC is a square having side equal to 4 cm. Therefore, length of each tangent is 4 cm. The correct answer is 4 cm which is given by option B.

In Fig.1, PA and PB are two tangents drawn from an external point P to a circle with centre C radius 4 cm. if $P A ⊥ P B,$ then the length of each tangent is:

The correct option is B
4 cm

Since, $A P ⊥ P B$ , $C A ⊥ A P$ , $C B ⊥ B P$ and AC = CB = radius of the circle, therefore APBC is a square having side equal to 4 cm.

Therefore, length of each tangent is 4 cm.

The correct answer is 4 cm which is given by option B.