Q. 113.8( 20 Votes )

# Draw circles with centres A, B and C each of radius 3 cm, such that each circle touches the other two circles.

Answer :

Draw a circle with radius 3 and centred at A. Similarly draw other two circles with centre B and C and same radius touching each other externally.

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Solve sub-questions:

If two circles with diameters 8 cm and 6 cm respectively touch externally, find the distance between their centers.

Maharashtra Board - Geometry PapersSolve sub-questions:

In the following figure, seg AB is a diameter of the circle, m (arc AKC) = 40° . Find the value of m (arc BMC).

Maharashtra Board - Geometry Papers

Solve Question:

In the following figure, if m(arc DXE) = 100° and m(arc AYC) = 40°, find ∠DBE.

Maharashtra Board - Geometry Papers

Solve any three sub-questions:

In the following figure, secants containing chords RS and PQ of a circle intersects each other in point A in the exterior of a circle. If m(arc PCR) = 26°, m(arc QDS) = 48°, then find:

(i) m∠PQR

(ii) m∠SPQ

(iii) m∠RAQ

Maharashtra Board - Geometry Papers

In figure 3.88, circles with centres X and Y touch internally at point Z. Seg BZ is a chord of bigger circle and intersects smaller circle at point A. Prove that, seg AX || seg BY.

MHB - Mathematics Part-2