CBSE Class 10 Mathematics Basic 2024: question 13
Set in the CBSE Class 10 board exam of 2024, paper 430/5/1, section A, question 13, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q13 · 1 mark · MCQCircles
If the angle between the two radii of a circle is , then the angle between the tangents at the ends of these radii, is :
- (A)
- (B)
- (C)
- (D)
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/5/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Angle between tangent and radius at contact point is .
Hint 2
Angles of a quadrilateral add to .
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
The two radii and two tangents form a quadrilateral with two angles [tangent ⟂ radius].
- 1 mark
Angle between tangents .
Answer: , option (A)
Where the marks are
- Uses supplementary angles in the quadrilateral to get (1 mark)
Revise the chapter
- Chapter: Circles (notes, formulas, where marks are lost and every past question)
- Topic: Solving Problems Using Tangent Properties
More questions from Circles
- 2024 board paper, set 430/5/1 (Basic), Q16 · 1 markAP and AQ are tangents drawn from an external point A to a circle with centre O and inclined to each other at …
- 2024 board paper, set 430/5/1 (Basic), Q29(a) · 3 marksProve that the parallelogram circumscribing a circle is a rhombus.
- 2024 board paper, set 430/5/1 (Basic), Q29(b) · 3 marksProve that the lengths of the tangents drawn from an external point to a circle are equal.
The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.