## Will boarding schools be safe for students after the end of this COVID-19 global epidemic?

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Hello, We Preparing our child for school after the end of this COVID-19. It is a nerve-cracking experience for parents. We are always concerned about the safety of our children, both at school and at home. We have taught safe ...

Scholar

## Ques (b) In the figure (ii) given below, O and O’ are centres of two circles touching each other externally at the point P. The common tangent at P meets a direct common tangent AB at M. Prove that: (i) M bisects AB (ii) ∠APB = 90°.

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One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question we have a figure in which it is given that O and O’ are centres of ...

Scholar

## Question 39. (a) In the figure (i) given below, AB is a chord of the circle with centre O, BT is tangent to the circle. If ∠OAB = 32°, find the values of x and y

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This is the basic and conceptual question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question we have a figure in which it is given that , AB is a chord of the circle ...

Scholar

## Question 38(b) In the figure (ii) given below, two circles with centres C, C’ intersect at A, B and the point C lies on the circle with centre C’. PQ is a tangent to the circle with centre C’ at A. Prove that AC bisects ∠PAB.

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This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question we have a figure in which it is given that , two circles with centres C, C’ intersect at A, ...

Scholar

## Question 38. (a) In the figure (i) given below, two circles intersect at A, B. From a point P on one of these circles, two line segments PAC and PBD are drawn, intersecting the other circle at C and D respectively. Prove that CD is parallel to the tangent at P.

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One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question we have a figure (i)t In which it is given that two circles intersect at A, ...

Scholar

## Question 37. If the sides of a rectangle touch a circle, prove that the rectangle is a square.

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One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question it is given that the sides of a rectangle touch a circle, Now using the properties of ...

Scholar

## Question 36. In the adjoining figure ∆ABC is isosceles with AB = AC. Prove that the tangent at A to the circumcircle of ∆ABC is parallel to BC.

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This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question we have a figure in which ∆ABC is isosceles with AB = AC. Now we have to prove that the ...

Scholar

## Ques 35(b) In the figure (ii) given below, A, B and C are three points on a circle. The tangent at C meets BA produced at T. Given that ∠ATC = 36° and ∠ACT = 48°, calculate the angle subtended by AB at the centre of the circle.

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One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 This ques has been asked im 2001 exam. In this question we have a figure in which ot it given ...

Scholar

## Question 35. (a) In the figure (i) given below, AT is tangent to a circle at A. If ∠BAT = 45° and ∠BAC = 65°, find ∠ABC.

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One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question we have a figure and it is given that AT is tangent to a circle at ...

Scholar

## Question 34. Two chords AB, CD of a circle intersect externally at a point P. If PA = PC, Prove that AB = CD.

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One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question we have two chords namely AB, CD and these chords intersect externally at a point P. It ...
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