Last updated at Aug. 9, 2021 by Teachoo

Transcript

Misc 21 The line ๐ฆ=๐๐ฅ+1 is a tangent to the curve ๐ฆ^2=4๐ฅ if the value of ๐ is (A) 1 (B) 2 (C) 3 (D) 1/2Let (โ , ๐) be the point at which tangent is to be taken & Given Equation of tangent ๐ฆ=๐๐ฅ+1 & Curve is ๐ฆ^2=4๐ฅ We know that Slope of tangent to the Curve is ๐๐ฆ/๐๐ฅ ๐ฆ^2=4๐ฅ Misc 21 The line ๐ฆ=๐๐ฅ+1 is a tangent to the curve ๐ฆ^2=4๐ฅ if the value of ๐ is (A) 1 (B) 2 (C) 3 (D) 1/2Let (โ , ๐) be the point at which tangent is to be taken Since (๐ , ๐) lies on line ๐=๐โ+1 Since (๐ , ๐) lies on curve ๐^2=4โ โ=๐^2/4 Putting (2) in (1) ๐=๐(๐^๐/๐)+1 4๐=๐๐^2+4 ๐๐^2โ4๐+4=0 Since tangent touches the curve at only one point There is only one value of k So, this quadratic equation has only one root Thus, Discriminant of Quadratic equation = 0 ๐^๐โ๐๐๐=๐ (โ4)^2โ4 ร ๐ ร 4=0 16โ16๐=0 ๐=16/16 ๐=1 Hence Correct Answer is (A)

Miscellaneous

Misc 1 (a)
Deleted for CBSE Board 2022 Exams

Misc 1 (b) Important Deleted for CBSE Board 2022 Exams

Misc 2 Important

Misc 3 Important

Misc 4

Misc 5 Important

Misc 6 Important

Misc 7

Misc 8 Important

Misc 9 Important

Misc 10

Misc 11 Important

Misc 12 Important

Misc 13 Important

Misc 14 Important

Misc 15 Important

Misc 16

Misc 17 Important

Misc 18 Important

Misc. 19 (MCQ) Deleted for CBSE Board 2022 Exams

Misc 20 (MCQ) Important

Misc 21 (MCQ) Important You are here

Misc 22 (MCQ)

Misc. 23 (MCQ) Important

Misc 24 (MCQ) Important

Chapter 6 Class 12 Application of Derivatives (Term 1)

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.