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Question

How many tangents can be drawn to a circle from a point outside it?

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

2

From any point located outside a circle, exactly two distinct tangent lines can be drawn to the circle, touching it at two different points.

This is a standard geometric property of circles.

Hence, the number of tangents is \(2\).

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Similar Questions

  1. In same segment, if ∠ACB = 40°, find ∠ADB.

  2. In a circle, AB is a chord. If ∠ACB = 50°, find ∠ADB.

  3. ABCD is a cyclic quadrilateral. If ∠A = 70°, find ∠C.


Important Questions from Circles, Chords and Tangents

  1. In a circle, a ten cm long chord is at a distance of 12 cm from the centre of the circle. The length of the diameter of the circle (in cm) is:

  2. Chord AB of a circle of radius 10 cm is at a distance 8 cm from the centre O. If tangents drawn at A and B intersect at P., then the length of the tangent AP (in cm) is:

  3. A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is:

  4. In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:

  5. O is the centre of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP?

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