Question
Download Solution PDFTo draw a pair of tangents to a circle which are inclined to each other at an angle of 75°, it is required to draw tangents at the end points of those two radii of the circle, the angle between whom is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Radius is perpendicular to the tangent at the point of contact
Sum of all the angles of a Quadrilateral = 360°
Calculation:
PA and PB are tangents drawn from an external point P to the circle.
∠OAP = ∠OBP = 90° (Radius is perpendicular to the tangent at the point of contact)
Now, In quadrilateral OAPB,
∠APB + ∠OAP + ∠AOB + ∠OBP = 360°
75° + 90° + ∠AOB + 90° = 360°
∠AOB = 105°
Thus, the angle between the two radii, OA and OB is 105°
Last updated on Jul 15, 2025
-> The Railway Recruitment Board has scheduled the RRB ALP Computer-based exam for 15th July 2025. Candidates can check out the Exam schedule PDF in the article.
-> RRB has also postponed the examination of the RRB ALP CBAT Exam of Ranchi (Venue Code 33998 – iCube Digital Zone, Ranchi) due to some technical issues.
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The official RRB ALP Recruitment 2025 provides an overview of the vacancy, exam date, selection process, eligibility criteria and many more.
->The candidates must have passed 10th with ITI or Diploma to be eligible for this post.
->The RRB Assistant Loco Pilot selection process comprises CBT I, CBT II, Computer Based Aptitude Test (CBAT), Document Verification, and Medical Examination.
-> This year, lakhs of aspiring candidates will take part in the recruitment process for this opportunity in Indian Railways.
-> Serious aspirants should prepare for the exam with RRB ALP Previous Year Papers.
-> Attempt RRB ALP GK & Reasoning Free Mock Tests and RRB ALP Current Affairs Free Mock Tests here