## 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

## Question 10(b) In the figure (ii) given below, O is the centre of the circle. If ∠OAD = 50°, find the values of x and y.

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

## Question 10. (a) In the figure (ii) given below, PQRS is a cyclic quadrilateral in which PQ = QR and RS is produced to T. If ∠QPR = 52°, calculate ∠PST.

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

## Question 9. (a) In the figure (i) given below, ABCD is a quadrilateral inscribed in a circle with centre O. CD is produced to E. If ∠ADE = 70° and ∠OBA = 45°, calculate (i) ∠OCA (ii) ∠BAC (b) In figure (ii) given below, ABF is a straight line and BE || DC. If ∠DAB = 92° and ∠EBF = 20°, find : (i) ∠BCD (ii) ∠ADC.

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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