SATHEE: Quantitative Aptitude Ques 1799

Quantitative Aptitude Ques 1799

Question: If the distance of the point $ P(x,y) $ from $ A(a,0) $ is $ a+x, $ then $ y^{2} $ is equal to

Options:

A) $ 2ax $

B) $ 4ax $

C) $ 6ax $

D) $ 8ax $

E) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Given, $ AP=a+x $

$ \Rightarrow $ $ \sqrt{{{(x-a)}^{2}}+{{(y-0)}^{2}}}=a+x $ On squaring both sides, we get $ {{(x-a)}^{2}}+y^{2}={{(a+x)}^{2}} $

$ \Rightarrow $ $ x^{2}+a^{2}-2ax+y^{2}=a^{2}+2ax+x^{2} $

$ \Rightarrow $ $ x^{2}+a^{2}+y^{2}-a^{2}-x^{2}=2ax+2ax $

$ \Rightarrow $ $ y^{2}=4ax $

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Quantitative Aptitude Ques 1799

Question: If the distance of the point $ P(x,y) $ from $ A(a,0) $ is $ a+x, $ then $ y^{2} $ is equal to

Options:

Answer:

Solution:

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