Daily Practice Problems

Class 9 · Maths

Ch 9 — Circles

📅 28 September 2026 ✎ 5 Questions ⏰ 10 minutes

A tangent to a circle at a point is:

A. a secant B. perpendicular to radius at that point C. parallel to a chord D. passes through center

📝 SolutionTangent: touches circle at exactly one point, perpendicular to radius at point of contact.

Angle in a semicircle is:

A. 45° B. 90° C. 180° D. 60°

📝 SolutionThales' theorem: angle subtended by diameter (semicircle) at any point on circle = 90°.

Two tangents from an external point to a circle are:

A. parallel B. perpendicular C. equal in length D. unequal

📝 SolutionTangent segments from external point: equal in length, and line joining point to center bisects angle between them.

Angle between tangent and chord at point of contact equals:

A. arc subtended B. half the arc C. inscribed angle D. 90°

📝 SolutionAngle between tangent and chord = (1/2) × arc subtended by chord.

Equal chords of a circle are:

A. equidistant from center B. at different distances C. always coincident D. perpendicular

📝 SolutionEqual chords: equidistant from center of circle. Conversely, chords equidistant from center are equal.

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Class 9 · Maths

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