Search for: In a ∆ABC if sides a and b remain constant such that a is the error in C, then relative error in its area, isIn a ∆ABC if sides a and b remain constant such that a is the error in C, then relative error in its area, isAαcotCBαsinCCαtanCDαcosC Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:We have,S=12absinC⇒dSdC=12abcosCLet ∆S be the error in area S. Then,ΔS=dSdCΔCΔS=12abcosCα [∵ΔC=α]⇒ ΔSS=12 abcosC α12 absinC= α cotCPost navigationPrevious: The side of an equilateral triangle is ‘a’ units and is increasing at the rate of λ. units/sec. The rate of increase of its area, is Next: The edge of a cube is equal to the radius of the sphere. If the rate at which the volume of the cube is increasing is equal to ‘λ., then the rate of increase of volume of the sphere, is Related content JEE Main 2023 Session 2 Registration to begin today JEE Main 2023 Result: Session 1 NEET 2024 JEE Advanced 2023 NEET Rank Assurance Program | NEET Crash Course 2023 JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria