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Question 42 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

 Find a relation between x and y such that the point (x,y) is equidistant from the Country C and Country D

(a) x − y = 2     (b) x + y = 2  

(c) 2x − y = 0   (d) 2x + y = 2

Transcript

Question 42 Find a relation between x and y such that the point (x,y) is equidistant from the Country C and Country D (a) x − y = 2 (b) x + y = 2 (c) 2x − y = 0 (d) 2x + y = 2 Let Point P(x, y) be the required point Since point P (x, y) is equidistant from C (7, 1) and D (3, 5) CP = DP √(( 𝑥 −7)2+(𝑦−1)2) = √((𝑥−3)2+(𝑦−5)2) Squaring both sides ( 𝒙 −𝟕)𝟐+(𝒚−𝟏)𝟐 =(𝒙−𝟑)𝟐+(𝒚−𝟓)𝟐 𝑥^2+49−14𝑥+𝑦^2+1−2𝑦=𝑥^2+9−6𝑥+𝑦^2+25−10𝑦 49−14𝑥+1−2𝑦=9−6𝑥+25−10𝑦 −14𝑥−2𝑦+50=−6𝑥−10𝑦+34 0=−6𝑥−10𝑦+34+14𝑥+2𝑦−50 0=−6𝑥+14𝑥−10𝑦+2𝑦+34−50 0=8𝑥−8𝑦−16 16=8𝑥−8𝑦 𝟖𝒙−𝟖𝒚=𝟏𝟔 Dividing by 8 both sides 𝒙−𝒚=𝟐 So, the correct answer is (a)
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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo