1.

Find the value of Y for which the distance between the points p 2 - y​

Answer»

nPoints P and Q AREP(2, –3) and Q(10,y)PQ=10(given)PQ²=10²=100(10–2)²+{y–(–3)}²=100(8)²+(y+3)²=10064+y²+6y+9=100y²+6y–27=0Splitting the middle term 6y,y²+9y–3y–27=0y(y+9)–3(y+9)=0(y+9)(y–3)=0y+9=0 or y–3=0y= –9 or y=3y= –9, 3Hence, the required value of y is–9 or 3.



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