10th Class Mathematics Solved Paper - Mathematics 2017 Outside Delhi Set-I

  • question_answer If the distances of P(x, y), from A(5,1) and B(\[1,\text{ }5\]) are equal, then prove that \[3x=2y\].

    Answer:

    Given, PA = PB
    \[\Rightarrow \]            \[\sqrt{{{(x-5)}^{2}}+{{(y-1)}^{2}}}=\sqrt{{{(x+1)}^{2}}+{{(y-5)}^{2}}}\]    
    Squaring both sides
                            \[{{(x-5)}^{2}}+{{(y-1)}^{2}}={{(x+1)}^{2}}+{{(y-5)}^{2}}\]
    \[\Rightarrow \]   \[{{x}^{2}}+25-10x+{{y}^{2}}+1-2y={{x}^{2}}+1+2x+{{y}^{2}}+25-10y\]
    \[\Rightarrow \]               \[-10x-2y=2x-10y\]
    \[\Rightarrow \]               \[-10x-2x=-10y+2y\]
    \[\Rightarrow \]                         \[12x=8y\]
    \[\Rightarrow \]                           \[3x=2y\]                      Hence Proved.


adversite



LIMITED OFFER HURRY UP! OFFER AVAILABLE ON ALL MATERIAL TILL TODAY ONLY!

You need to login to perform this action.
You will be redirected in 3 sec spinner

Free
Videos