ICSE Archives - Page 13 of 91

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Rajan@2021Guru

Asked: March 27, 2021In: ICSE

In A, B and C are points on OP, OQ and OR respectively such that AB∣∣PQ and AC∣lPR. Show that BC∣∣QR

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In the given figure we have been asked to prove that BC||QR, if A, B, C are three points on ...Read more

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Ques 20(b) In the figure (ii) given below, chords BA and DC of a circle meet at P. Prove that: (i) ∠PAD = ∠PCB (ii) PA. PB = PC . PD.

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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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Question 20. (a) In the figure (i) given below, QPX is the bisector of ∠YXZ of the triangle XYZ. Prove that XY : XQ = XP : XZ,

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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Ques 19(b) In the figure (ii) given below, the diagonals of a cyclic quadrilateral ABCD intersect in P and the area of the triangle APB is 24 cm². If AB = 8 cm and CD = 5 cm, calculate the area of ∆DPC.

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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Question 19. (a) In the figure (i) given below, PR is a diameter of the circle, PQ = 7 cm, QR = 6 cm and RS = 2 cm. Calculate the perimeter of the cyclic quadrilateral PQRS.

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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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Question 18. In the adjoining figure, AE and BC intersect each other at point D. If ∠CDE = 90°, AB = 5 cm, BD = 4 cm and CD = 9 cm, find DE

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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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Ques 17 (b) In the figure (ii) given below, AB and CD are two intersecting chords of a circle. Name two triangles which are similar. Hence, calculate CP given that AP = 6cm, PB = 4 cm, and CD = 14 cm (PC > PD).

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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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Question 17. (a) In the figure (i) given below, chords AB and CD of a circle intersect at E. (i) Prove that triangles ADE and CBE are similar. (ii) Given DC =12 cm, DE = 4 cm and AE = 16 cm, calculate the length of BE.

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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Question 16. (a) In the figure (i) given below, CP bisects ∠ACB. Prove that DP bisects ∠ADB. (b) In the figure (ii) given below, BDbisects ∠ABC. Prove that AB/BD=BE/BC

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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

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deepaksoniGuru

Asked: March 26, 2021In: ICSE

Question 15 (b) In the figure (i) given below, AB = AC = CD, ∠ADC = 38°. Calculate : (i) ∠ABC (ii) ∠BEC.

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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

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