## Question 21. (a) In the figure (i) given below, PQ is a tangent to the circle at A, DB is a diameter, ∠ADB = 30° and ∠CBD = 60°, calculate (i) ∠QAB (ii) ∠PAD (iii) ∠CDB.

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This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In the figure ...Read more

## Question 13. (a) In the figure (i) given below, AB = 8 cm and M is mid-point of AB. Semi-circles are drawn on AB, AM and MB as diameters. A circle with centre C touches all three semi-circles as shown, find its radius.

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One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter ...Read more

Guru

## Question 3. The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle.

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This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 Tangent from a ...Read more

## Question 16. In the given figure, chords AB and CD of the circle are produced to meet at O. Prove that triangles ODB and OAC are similar. Given that CD = 2 cm, DO = 6 cm and BO = 3 cm, area of quad. CABD. Calculate AB. Also find (area of CABD) /(area of OAC)

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This is the basic and conceptual question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In ...Read more

## Question 15. (a) Prove that a cyclic parallelogram is a rectangle. (b) Prove that a cyclic rhombus is a square.

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This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 By using properties ...Read more

## Question 14. In the given figure, ABC is an isosceles triangle in which AB = AC and circle passing through B and C intersects sides AB and AC at points D and E. Prove that DE || BC.

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This is the basic and conceptual question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In ...Read more

## Ques 13(b) In the figure (ii) given below, SP is the bisector of ∠RPT and PQRS is a cyclic quadrilateral. Prove that SQ = RS.

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This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question ...Read more

## Question 13. (a) In the figure (i) given below, ED and BC are two parallel chords of the circle and ABE, ACD are two st. lines. Prove that AED is an isosceles triangle.

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This is an important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- ...Read more

## Question 12. In the given figure, O is the centre and AOE is the diameter of the semicircle ABCDE. If AB = BC and ∠AEC = 50°, find : (i) ∠CBE (ii) ∠CDE (iii) ∠AOB. Prove that OB is parallel to EC.

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This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In the given ...Read more

## Question 11. (a) In the figure (i) given below, O is the centre of the circle. If ∠COD = 40° and ∠CBE = 100°, then find : (i) ∠ADC (ii) ∠DAC (iii) ∠ODA (iv) ∠OCA. (b) In the figure (ii) given below, O is the centre of the circle. If ∠BAD = 75° and BC = CD, find : (i) ∠BOD (ii) ∠BCD (iii) ∠BOC (iv) ∠OBD

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This is an important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- ...Read more