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• ICSE×
• Class 10×
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• Circle Tangents And Intersecting Chords×
Home /Doubts and Solutions/ICSE/Class 10/Mathematics/Circle Tangents And Intersecting Chords

# Circle Tangents And Intersecting Chords Free Doubts and Solutions

## the area of a circle insribed in an equilateral triangle is 154sq.cm, find the perimeter of triangle

Asked by subhasray1968 9th February 2018, 12:27 PM

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## In a square ABCD, its diagonals AC and BD intersect each other at point O. The bisectors of angle DAO meets BD at point M and the bisector of angle ABD meets AC at N and AM at L. Show that: (i)angle ONL+ angle OML =180 degree. (ii) angle BAM =angle BMA. (iii)ALOB is a cyclic quadrilateral.

Asked by ashutoshtripathy2000 2nd October 2015, 11:18 AM

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## ABC is a right triangle with angle B =90 degree.A circle with BC as diameter meets hypotenuse AC at point D.Prove that: (i) AC*AD=AB*AB (ii)BD*BD=AD*DC

Asked by ashutoshtripathy2000 2nd October 2015, 11:14 AM

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## Prove that the perimeter of a right triangle is equal to the sum of the diameter of its incircle and twice the diameter of its circumcircle.

Asked by ashutoshtripathy2000 2nd October 2015, 10:52 AM

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## Prove that the perimeter of a right triangle is equal to the sum of the diameter of its incircle and twice the diameter of its circumcircle.

Asked by ashutoshtripathy2000 2nd October 2015, 10:52 AM

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## 1) AB is a line segment and M is its mid-point .Three semi circles are drawn with AM, MB and AB as diameters on the same side of the line AB. A circle with radius r units is drawn so that it touches all the three semi circles .Show that AB=6 times r. 2) ABC is a right triangle with angle B=90 degree. A circle with BC as diameter meets hypotenuse AC at point D .Prove that (i) AC*AD=AB*AB. (ii)BD*BD=AD*DC. 3)In a square ABCD, its diagonals AC and BD intersect each other at point O. The bisectors of angle DAO meets BD at point M and the bisector of angle ABD meets AC at N and AM at L. Show that:(i)angle ONL+ angle  OML =180 degree. (ii) angle BAM =angle BMA. (iii)ALOB is a cyclic quadrilateral.  4)In the given figure, PAT is a tangent to the circle with centre O, at point A on its circumference and is parallel to the chord BC. If CDQ is a line segment, show that :(i) angle BAP =angle ADQ.(ii) angle AOB = angle 2* angle ADQ.(iii) angle ADQ =angle ADB.

Asked by ashutoshtripathy2000 27th September 2015, 9:17 PM

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## AB is the diameter of circle with center O. Chord CD is equal to radius OC. AC and BOD produced intersect at P . Find:     OCD APB

Asked by mythili Suresh 12th September 2014, 7:43 PM

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## pleas explain i am not able to understand it properly

Asked by Vineet Chauhan 12th October 2013, 10:06 PM

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## wht is collinear point and non colllinear one

Asked by Vineet Chauhan 12th October 2013, 9:52 PM

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## In a circle of radius 5 cm, NG and AG are two chords such that NG = AG = 6 m. Find the length of the chord AN.

Asked by Vineet Chauhan 7th October 2013, 2:00 PM