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CBSE Class 10 Answered

Prove that the line segment joining the points of contact of two parallel tangents of a circle, passes through the centre.
Asked by manasvi.gopani | 18 Feb, 2018, 04:58: PM
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begin mathsize 16px style Given colon space Let space PMQ space and space RNS space be space two space parallel space tangents space to space straight a space circle space with space centre space straight O. To space prove colon MN space passes space through space centre space of space straight a space circle space straight O. Construction colon space Join space OM space and space OA Draw space OA space parallel to PQ PM space parallel to space AO angle PMO plus angle AOM equals 180 degree space space space space space space space space space space space Sum space of space adjacent space interior space angles angle PMO equals 90 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight A space tangent space to space straight a space circle space is space perpendicular space to space radius space through space point space of space contact. 90 degree plus angle AOM equals 180 degree angle AOM equals 90 degree angle AON equals 90 degree angle AOM plus angle AON equals 90 degree plus 90 degree equals 180 degree MON space is space straight a space straight space line space passing space through space straight O. end style
Answered by Sneha shidid | 19 Feb, 2018, 11:12: AM

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CBSE 10 - Maths
PQ is a chord of length 8 cm to a circle of radius 5 cm. The tangents P and Q intersect at a point T. Find the length of the tangent TP.
Asked by yalagondanikhil | 16 Apr, 2024, 12:25: PM
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CBSE 10 - Maths
From a point P, two tangents PA and PB are drawn to a circle C(0, r).  If OP = 2r, then find ∠𝐴𝑃𝐵. What type of triangle is APB?  
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CBSE 10 - Maths
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Asked by sangyaswarupa | 16 Mar, 2021, 10:06: AM
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CBSE 10 - Maths
point A lies in the exterior of a circle with center P and radius 8 cm A tangent from A touches the circle at if AB=15 cm find PA
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CBSE 10 - Maths
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Asked by s.saumya1011 | 05 Nov, 2020, 02:10: PM
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CBSE 10 - Maths
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CBSE 10 - Maths
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Asked by arindeep.singh | 02 Oct, 2020, 01:20: PM
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CBSE 10 - Maths
prove that a diameter AB of a circle bisects all those chords which are the tangent at the point A
Asked by shivappahb308 | 21 Sep, 2020, 02:15: PM
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CBSE 10 - Maths
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Asked by vs4247325 | 04 Sep, 2020, 04:56: AM
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CBSE 10 - Maths
Two circles touches internally at a point P and from a point T ,the common tangent at P , tangent segments TQ and TR are drawn to the two circle Prove that TQ=TR
Asked by VasupradUboveja376 | 22 Jun, 2020, 12:03: AM
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