Question 22 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards

Last updated at July 27, 2026 by Teachoo

Find the radius of the circle with centre at origin, if line 𝑙 given - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

part 2 - Question 22 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 22 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

Question 22 Find the radius of the circle with centre at origin, if line 𝑙 given by 𝑥 + 𝑦 = 5 is tangent to the circle at point P.Since P(3, a) lies on line 𝑙 It will satisfy its equation Putting x = 3, y = a in equation of line x + y = 5 3 + a = 5 a = 5 – 3 a = 2 So, point P is P (3, 2) Now, we need to find Radius of circle Radius of circle = CP Finding CP using Distance formula CP = √((3−0)^2+(2−0)^2 ) = √(3^2+2^2 ) = √(9+4) = √𝟏𝟑 Thus, radius of circle is √𝟏𝟑 units

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