Question

If 'P' is a point out side to the circle and 'Q be a point inside the circle, 'R' be a point on
the circle then the total number of tangents drawn to the circle S =0 from P, Q, R are
a) 6
b)3
d) 2.
c) 8​

Answer 1

Given :-

• 'P' is a point out side to the circle
• 'Q' be a point inside the circle.
• R' be a point on the circle ..

To Find :- the total number of tangents drawn to the circle.

Concept Used :-

• No tangent will be drawn when the point is inside the circle.
• Only One Tangent can be drawn , when the Point is on The circle.
• Two Tangent can be drawn from an point Outside The circle.

Solution :-

From image we can see That,

→ Point Q = Inside Circle = No tangent.

→ Point R = On The circle = One Tangent = CD.

→ Point P = outside circle = Two Tangent = AP ans BP.

So,

→ Total Tangents = 0 + 1 + 2 = 3.

Hence, the total number of tangents drawn to the circle are 3. (Option B).

Answer 2

Answer:-

Given:

• P is a point outside the circle. Hence there is possibility of drawing only two tangents.
• Q is a point inside the circle. We cannot draw a tangent inside the circle.
• P is a point on the circle. As there is possibility of drawing only 1 tangent , we can draw only one tangent.

Total number of tangents = 2 + 1 = 3.

Hence, the total number of tangents are 3.