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CBSE Class 10 Answered

prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
 
Asked by veenasunilbt | 16 Mar, 2016, 08:14: PM
answered-by-expert Expert Answer
Construction colon space Take space straight a space point space straight B space other space than space straight A space on space the space tangent space l. space Join space OB. space Let space OB space meet space the space circle space at space point space straight C. Proof colon space We space know space that space amon g space all space the space line space segments space joining space the space point space straight O space to space straight a space point space on space l comma space the space perpendicular space is space the space shortest space to space l. OA space equals space OC. space. space. space. space left parenthesis Radii space of space the space same space circle. right parenthesis Now comma space OB space equals space OC space plus space BC rightwards double arrow OB space greater than space OC rightwards double arrow OB space greater than space OA rightwards double arrow OA space less than space OB straight B space is space an space arbitary space point space on space the space tangent space l. Hence comma space OA space is space shorter space than space any space other space line space segment space joining space straight O space to space any space point space on space l. Hence comma space OA space perpendicular l
 
Answered by Rebecca Fernandes | 17 Mar, 2016, 12:23: PM

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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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CBSE 10 - Maths
prove that a diameter AB of a circle bisects all those chords which are the tangent at the point A
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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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