No products in the cart.

  1. Homework Help
  2. CBSE
  3. Class 10
  4. Mathematics

The radius is always perpendicular to …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now
The radius is always perpendicular to the radius at the point of contact

    • Posted by Abhishek Gupta 4 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 4 years, 10 months ago

    Given A radius OP of a circle C (O, r) and a line APB, perpendicular to OP.
    To Prove AB is a tangent to the circle at the point P.

    PROOF Take a point Q, different from P, on the line AB.since radius through the point of contact of tangent is perpendicular to it. Therefore,
     {tex} O P \perp A B{/tex}.
    {tex}{/tex}We know that among all the line segments joining O to a point on AB, OP is the shortest one. Therefore,
    {tex}{/tex} OP < <oq>OQ
    {tex}{/tex}{tex}\Rightarrow{/tex} OQ > OP</oq>
    {tex}\Rightarrow{/tex}Q <oq>lies outside the circle.
    Therefore, every point on AB, other than P, lies outside the circle. This implies that AB meets the circle only at the point P.
    Hence, AB is a tangent to the circle at P.</oq>

    0Thank You

    ANSWER
    http://mycbseguide.com/examin8/

    Related Questions

    This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

    Few rules to keep homework help section safe, clean and informative.
    • Don't post personal information, mobile numbers and other details.
    • Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
    • Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
    • Ask specific question which are clear and concise.

    Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

    Posted by Rahul Rajput an hour ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    a+b ka hool square

    • Posted by Rajan Dubey 2 days, 2 hours ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    3.11stques

    • Posted by Paru Devi Ninama Ninama 2 days, 7 hours ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

    Few rules to keep homework help section safe, clean and informative.
    • Don't post personal information, mobile numbers and other details.
    • Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
    • Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
    • Ask specific question which are clear and concise.

    Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

    Posted by Somya Agrawal an hour ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

    Few rules to keep homework help section safe, clean and informative.
    • Don't post personal information, mobile numbers and other details.
    • Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
    • Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
    • Ask specific question which are clear and concise.

    Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

    Posted by Account Deleted an hour ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    8. The least positive value of k, for which the quadratic equation 2x2 + kx - 4 = 0 has rational roots, is

    • Posted by Ashish Kumar 7 minutes ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    If alpha and beta are the zeros of the polynomial 2x²-5x+7, then find the value of alpha-¹+ beta-¹

    • Posted by Sandhya Vishwakarma 2 days, 7 hours ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    Draw a graphical representation of 3x+y=3

    • Posted by Apeksha S 48 minutes ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    Ch 3 ex 3.3

    • Posted by Rohan Dhiman 2 days, 1 hour ago

    CBSE > Class 10 > Mathematics
    • 2 answers
    What is homogeneous liner equation?

    • Posted by Siddharth Singh 1 day, 1 hour ago

    CBSE > Class 10 > Mathematics
    • 0 answers

    myCBSEguide App

    myCBSEguide

    Trusted by 1 Crore+ Students

    Install Now

    Test Generator

    Test Generator

    Create papers online. It's FREE.

    Try Now

    CUET Mock Tests

    CUET Mock Tests

    75,000+ questions to practice only on myCBSEguide app

    Install Now
    Google Play

    Download myCBSEguide App

    All Courses

    Other Websites

    CBSE Courses

    Resources

    Corporate

    NCERT Solutions

    CBSE Sample Papers

    All Content and Intellectual Property is under Copyright Protection | myCBSEguide.com ©2007-2024