icse Archives - Page 4 of 39

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deepaksoniGuru

Asked: April 15, 2021In: ICSE

Question 15. Calculate the length of a direct common tangent to two circles of radii 3 cm and 8 cm with their centres 13 cm apart.

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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 15, 2021In: ICSE

Question 14. The length of the direct common tangent to two circles of radii 12 cm and 4 cm is 15 cm. Calculate the distance between their centres

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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: April 15, 2021In: ICSE

Ques 13(b) In the figure (ii) given below, equal circles with centres O and O’ touch each other at X. OO’ is produced to meet a circle O’ at A. AC is tangent to the circle whose centre is O. O’D is perpendicular to AC. Find the value of :(i) AO′/AO (ii) areaofΔADO′/areaofΔACO

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

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deepaksoniGuru

Asked: April 15, 2021In: ICSE

Question 12(b) In the figure (ii) given below, two concentric circles with centre O are of radii 5 cm and 3 cm. From an external point P, tangents PA and PB are drawn to these circles. If AP = 12cm, find BP.

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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: April 15, 2021In: ICSE

Question 12. (a) ln the figure (i) PQ = 24 cm, QR = 7 cm and ∠PQR = 90°. Find the radius of the inscribed circle ∆PQR

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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 15, 2021In: ICSE

Question 11. (a) In the figure (i) given below, the sides of the quadrilateral touch the circle. Prove that AB + CD = BC + DA. (b) In the figure (ii) given below, ABC is triangle with AB = 10cm, BC = 8cm and AC = 6cm (not drawn to scale). Three circles are drawn touching each other with vertices A, B and C as their centres. Find the radii of the three circles

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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 15, 2021In: ICSE

Question 10. Three circles of radii 2 cm, 3 cm and 4 cm touch each other externally. Find the perimeter of the triangle obtained on joining the centres of these circles.

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

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deepaksoniGuru

Asked: April 5, 2021In: ICSE

Ques 9(b) In the given figure, PB is a tangent to a circle with centre O at B. AB is a chord of length 24 cm at a distance of 5 cm from the centre. If the length of the tangent is 20 cm, find the length of OP.

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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

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deepaksoniGuru

Asked: April 5, 2021In: ICSE

Question 9. (a) If a, b, c are the sides of a right triangle where c is the hypotenuse, prove that the radius r of the circle which touches the sides of the triangle is given by r=(a+b-c)/2

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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 5, 2021In: ICSE

Question 8. (a) In the figure (i) given below, O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm, find the radius of the circle. (b) In the figure (ii) given below, from an external point P, tangents PA and PB are drawn to a circle. CE is a tangent to the circle at D. If AP = 15 cm, find the perimeter of the triangle PEC.

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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

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