Questions Archive - Page 437 of 603

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Rajan@2021Guru

Asked: April 16, 2021In: CBSE

Prove that: (sinA-sinB)/(cosA+cosB) + (cosA-cosB)/(sinA+sinB) = 0

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This question is taken from RS Aggarwal, Chapter 13A and this is the basic and conceptual question from trigonometric identities ...Read more

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deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 29. Two chords AB, CD of a circle intersect internally at a point P. If (i) AP = cm, PB = 4 cm and PD = 3 cm, find PC. (ii) AB = 12 cm, AP = 2 cm, PC = 5 cm, find PD. (iii) AP = 5 cm, PB = 6 cm and CD = 13 cm, find CP.

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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

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deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 28(b) In the figure (ii) given below, O is the centre of the circle and PT is the tangent to the circle at P. Given ∠QPT = 30°, calculate (i) ∠PRQ (ii) ∠POQ.

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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

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deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 28. (a) In the figure (i) given below, O is the centre of the circumcircle of triangle XYZ. Tangents at X and Y intersect at T. Given ∠XTY = 80° and ∠XOZ = 140°, calculate the value of ∠ZXY.

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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

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deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 27(b) In the figure (ii) given below, AP and BP are tangents to the circle with centre O. Given ∠APB = 60°, calculate. (i) ∠AOB (ii) ∠OAB (iii) ∠ACB.

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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

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deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 27. (a) In the figure (0 given below, AB is a diameter. The tangent at C meets AB produced at Q, ∠CAB = 34°. Find (i) ∠CBA (ii) ∠CQA

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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

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deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 26. In a triangle ABC, the incircle (centre O) touches BC, CA and AB at P, Q and R respectively. Calculate (i) ∠QOR (ii) ∠QPR given that ∠A = 60°.

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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

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deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 25. In the adjoining figure, ABCD is a cyclic quadrilateral.The line PQ is the tangent to the circle at A. If ∠CAQ : ∠CAP = 1 : 2, AB bisects ∠CAQ and AD bisects ∠CAP, then find the measure of the angles of the cyclic quadrilateral. Also prove that BD is a diameter of the circle.

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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

1

deepaksoniGuru

Asked: April 16, 2021In: ICSE

Question 24. (a) In the figure (i) given below, O is the centre of the circle. The tangent at B and D meet at P. If AB is parallel to CD and ∠ ABC = 55°. find: (i)∠BOD (ii) ∠BPD (b) In the figure (ii) given below. O is the centre of the circle. AB is a diameter, TPT’ is a tangent to the circle at P. If ∠BPT’ = 30°, calculate : (i)∠APT (ii) ∠B OP.

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

1

deepaksoniGuru

Asked: April 15, 2021In: ICSE

Question 23. In the given figure, O is the centre of the circle. Tangents to the circle at A and B meet at C. If ∠ACO = 30°, find (i) ∠BCO (ii) ∠AOR (iii) ∠APB

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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

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