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Maths-

General

Easy

Question

The ends of hypotenuse of a right angled triangle are (5, 0), (-5, 0) then the locus of third vertex is

$x^{2} - y^{2} = 25$
$x^{2} + y^{2} = 25$
$x^{2} + y^{2} = 5$
$x^{2} - y^{2} = 5$

The correct answer is: $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 25$

$A equals left parenthesis 50 right parenthesis comma B equals left parenthesis negative 50 right parenthesis semicolon P A to the power of 2 end exponent plus P B to the power of 2 end exponent equals A B to the power of 2 end exponent text (or) end text$ $open parentheses x minus x subscript 1 end subscript close parentheses open parentheses x minus x subscript 2 end subscript close parentheses plus open parentheses y minus y subscript 1 end subscript close parentheses open parentheses y minus y subscript 2 end subscript close parentheses equals 0$

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If A(3,0), B(-3,0) then the locus of the point P such that $P A to the power of 2 end exponent plus P B to the power of 2 end exponent equals 18 text is end text$

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<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/655383/1/1167938/Picture1.png" alt="" width="98" height="79"

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<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/655383/1/1167938/Picture1.png" alt="" width="98" height="79"

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