Question 50 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

The point on y axis equidistant from B and C is

(a) (−1, 0) (b) (0, −1) (c) (1, 0) (d) ( 0, 1)

Ques 50 (Case Based) - The point on y axis equidistant from B and C is - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

part 2 - Question 50 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 50 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

Question 50 The point on y axis equidistant from B and C is (a) (−1, 0) (b) (0, −1) (c) (1, 0) (d) ( 0, 1) Since required point is on y-axis It’s x-coordinate is 0 Let Y (0, y) be the required point Since point Y (0, y) is equidistant from points B (4, 3) and C (4, −1) BY = CY √(( 0 −4)2+(𝑦−3)2) = √((0−4)2+(𝑦−(−1))2) √(4^2+ (𝑦−3)2) = √(4^2+ (𝑦+1)2) Squaring both sides 4^2+ (𝑦−3)2 = 4^2+ (𝑦+1)2 (𝑦−3)2 = (𝑦+1)2 𝑦^2+9−6𝑦=𝑦^2+1+2𝑦 9−6𝑦=1+2𝑦 9−1=2𝑦+6𝑦 8=8𝑦 𝑦=8/8 𝒚=𝟏 ∴ Required coordinates = (0, y) = (0, 1) So, the correct answer is (d)

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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

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