Q. 1 F4.0( 25 Votes )

Find the distance

Answer :

In this question, we have to use the distance formula to find the distance between two points which is given by, say for points P(x1,x2) and Q(y1,y2) then


PQ = √(x2 – x1)2 + (y2 – y1)2



PQ = √{(a cos a – a sin a)2 – (– a sin a – a cos a)2}


= √{(a2 cos2 a + a2 sin2 a – 2a2 sina.cosa + a2 cos2 a + a2 sin2 a + 2a2 sina.cosa }


= √{ a2 (cos2 a + sin2 a) + (a2 (cos2 a + sin2 a))}


= √a2(1) + a2 (1)


= √a2(1 + 1)


PQ = a√2 units


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