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Question

Find the angle between the radius and the tangent at the point of contact.

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

90°

A fundamental property of circles states that a tangent to a circle is always perpendicular to the radius drawn at the point of contact.

Therefore the angle between the radius and the tangent at the point of contact is 90°.

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Similar Questions

  1. In a circle, the angle subtended by a diameter at any point on the circle is:

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Important Questions from Circles

  1. If the lines 3x − 4y + 4 = 0 and 6x − 8y − 7 = 0 are the tangents to a circle, then the radius of the circle is ________.

  2. The internal center of similitude of two circles $ (x - 1)^2 + (y - 3)^2 = 4 $ and $ (x + 5)^2 + (y - 9)^2 = 16 $ is

  3. The area of a circle is 15400 cm2. What is the positive difference between the radius and the circumference of the circle? [Use π = \(\frac{22}{7}\)]

  4. A is a point outside of a circle with centre O. AP and AQ are two tangents of the circle. If AP = a2 + 14 and AQ = 239, then what is the value of a ?

  5. A circle of radius 5 units touches the Co-ordinate axes in the first quadrant. If the circle makes one complete roll on x-axis along the positive direction of x-axis, find its equation in new position.

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