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Question 48 (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 x axis equidistant from I and E is

(a) (1/2, 0)    (b) (0,  (-1)/2)     (c) ((-1)/2, 0)       (d) (0,  1/2)

Transcript

Question 48 The point on x axis equidistant from I and E is (a) (1/2, 0) (b) (0, (−1)/2) (c) ((−1)/2, 0) (d) (0, 1/2) Since required point is on x-axis It’s y-coordinate is 0 Let X (x, 0) be the required point Since point X (x, 0) is equidistant from points I (−1, 1) and E (2, 1) IX = EX √(( 𝑥 −(−1) )2+(1−0)2) = √((𝑥−2)2+(0−1)2) √(( 𝑥+1 )2+12) = √((𝑥−2)2+12) Squaring both sides ( 𝑥+1)2+12 = ( 𝑥−2)2+12 ( 𝑥+1)2 = ( 𝑥−2)2 𝑥^2+1+2𝑥=𝑥^2+4−4𝑥 1+2𝑥=4−4𝑥 4𝑥+2𝑥=4−1 6𝑥=3 𝑥=3/6 𝒙=𝟏/𝟐 ∴ Required coordinates = (x, 0) = (𝟏/𝟐, 𝟎) So, the correct answer is (a)
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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