# Misc 4 - Chapter 10 Class 11 Straight Lines (Term 1)

Last updated at May 29, 2018 by

Last updated at May 29, 2018 by

Transcript

Misc 4 What are the points on the y-axis whose distance from the line π₯/3 + π¦/4 = 1 is 4 units. Let any point on y-axis be P(0, k) Given that distance of point on y-axis from the line π₯/3 + π¦/4 = 1 is 4 units Given line is π₯/3 + π¦/4 = 1 (4π₯ + 3π¦)/12 = 1 4x + 3y = 12 4x + 3y β 12 = 0 The above equation is of the form Ax + By + C = 0 Here A = 4, B = 3, and C = β12 We know that Distance of a point (x1, y1) from a line Ax + By + C = 0 is d = |γπ΄π₯γ_1 + γπ΅π¦γ_1 + πΆ|/β(π΄^2 + π΅^2 ) Given Distance of a point (0, k) from line 4x + 3y β 12 = 0 is 4 Putting values x1 = 0 , y1 = k , d = 4 & A = 4 , B = 3 , C = β 12 So, 4 = |4(0) + 3π + ( β 12)|/β((4)^2 + (3)^2 ) 4 = |0 + 3π β 12|/β(16 + 9) 4 = |3π β 12|/β25 4 = |3π β 12|/5 4 Γ 5 = |3πβ12| 20 = |3πβ12| |3πβ12| = 20 3k β 12 = Β± 20 Hence point on y-axis is (0, 32/3) and (0, ( β 8)/3)

Miscellaneous

Misc 1
Important

Misc 2 Important

Misc 3 Important

Misc 4 You are here

Misc 5

Misc 6 Important

Misc 7

Misc 8 Important

Misc 9 Important

Misc 10

Misc 11 Important

Misc 12 Important

Misc 13

Misc 14

Misc 15 Important

Misc 16 Important

Misc 17

Misc 18 Important

Misc 19 Important

Misc 20 Important

Misc 21 Important

Misc 22 Important

Misc 23

Misc 24 Important

Chapter 10 Class 11 Straight Lines (Term 1)

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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.