Circles — Class 10 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Circles" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Circles" — 8 important questions with detailed answers for CBSE board exam prepara…

By Syllab.in · Updated

Key Questions Covered:

  1. State and prove the theorem: A tangent to a circle is perpendicular to the ra…
  2. Two tangents are drawn to a circle from an external point. Prove that they ar…
  3. A circle with center O and radius 5 cm has a point P at distance 13 cm from t…
  4. + 5 more questions in the full chapter

Solutions Summary:

Question Status
State and prove the theorem: A tangent to a circle is per… ✓ Solved
Two tangents are drawn to a circle from an external point… ✓ Solved
A circle with center O and radius 5 cm has a point P at d… ✓ Solved

Showing 3 of 8 questions

Q1: State and prove the theorem: A tangent to a circle is perpendicular to the radius at the point of tangency.

Theorem: A tangent to a circle is perpendicular to the radius at the point of tangency. Given: Let O be the center of a circle. Let AB be a tangent to the circle at point P. OP is the radius to point P. Prove: OP ⊥ AB (that is, OP is perpendicular to AB) Proof: Step 1: Assume, for contradiction,...

Q2: Two tangents are drawn to a circle from an external point. Prove that they are equal in length.

Theorem: Two tangents drawn to a circle from an external point are equal in length. Given: Let O be the center of the circle. Let P be an external point. PA and PB are two tangents to the circle at points A and B respectively. Prove: PA = PB Proof: Step 1: Since PA and PB are tangents, we use th...

Q3: A circle with center O and radius 5 cm has a point P at distance 13 cm from the center. From P, two tangents are drawn to the circle. Find the length of each tangent.

Given: Circle with center O and radius r = 5 cm Point P at distance OP = 13 cm from center Two tangents PA and PB are drawn from P to the circle Find: Length of each tangent (PA and PB) Diagram (text description): A (point of tangency) /| / | / | 5 cm (radius...

Showing 3 of 8 questions. Visit the full page for complete solutions.