Question 512 Marks
The circles which are not congruent touch externally. The sum of their areas is $130 \pi cm ^2$ and distance between their centres is 14 cm. Find the radii of the two circles.
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2 Marks Questions
Question 522 Marks
Tangents drawn at points A and C of a circle intersect each other in point P. If $\angle$APC = 50°, then find $\angle$ABC.
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In the adjoining figure, point P is the centre of the circle and line AB is the tangent to the circle at T. The radius of the circle is 6 cm. Find PB if $\angle TPB =60^{\circ}$.
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In the adjoining figure, point A is the centre of the circle AN = 10 cm. Line NM is tangent at M. MN = 5cm. Find the radius.
Question 552 Marks
In the adjoining figure, O is the centre of the circle. Find the value of $\angle$ABP if $\angle$POB = 90°
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In the adjoining figure, O is the centre and seg AB is a diameter. At point C on the circle, the tangent CD is drawn. Line BD is tangent at B. Prove that seg OD || seg AC.
Question 572 Marks
In the adjoining figure line PA is tangent at point A. Line PBC is a secant. If AP = 15 and BP = 10, find BC.
Question 582 Marks
In the adjoining figure circles with centres A and C touch internally at point T. Line AB is tangent to the smaller circle at point P. Point B lies on the bigger circle. Radii are 16 cm and 6 cm. Find AP.
Question 592 Marks
In the adjoining figure, chord PQ and chord AB intersect at point M. If PM = AM, then prove that BM = QM.
Question 602 Marks
In the adjoining figure, A circle with centre 'O' arc PQ = arc QR = arc PR. Find measure of each of above arcs.
Question 612 Marks
If m(arc APC) = 60° and $\angle$BAC = 80° Find (a) $\angle$ABC (b) m(arc BQC).
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A circle with centre. O Point A is in the exterior of the circle. Line AP and line AQ are tangents at point P and point Q respectively P-A-S, Q-A-R $\angle$PAR = 130°. Find $\angle$AOP.
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