NSEJS · Mathematics

Circles

Tangents, properties of chords and angle properties of circles.

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  • Q1 · Circles · HARD

    Two circles with radii 5 cm and 3 cm touch each other externally. What is the length of their common tangent (direct common tangent)?

  • Q2 · Circles · EASY

    A tangent is drawn to a circle of radius 6 cm from a point 10 cm away from the center. What is the length of the tangent?

  • Q3 · Circles · EASY

    Two tangents PA and PB are drawn to a circle from an external point P. If angle APB = 60°, what is the angle AOB where O is the center of the circle?

  • Q4 · Circles · MEDIUM

    A chord AB of a circle is 24 cm long and is at a distance of 5 cm from the center. What is the radius of the circle?

  • Q5 · Circles · MEDIUM

    In a circle, an inscribed angle subtends an arc of 140°. What is the measure of the inscribed angle?

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