Question

1. 1
• The segment joining the points (a,
and (c,d) subtends a right angle at the
origin then find the relation between
a, b, c and d.​

Answer 1

Step-by-step explanation:

You can either solve this using vectors as ankit has done. Or use basic coordinate geometry as follows:

Say O (0,0), P(a,b), Q(c,d) are the given points. The information given in the question implies that angle POQ is a right angle.

Conversely lines OP and OQ are perpendicular to each other. Therefore product of their slopes is -1.

We know that slope of a line joining two points (x1,y1) & (x2,y2) is

(y2-y1)/(x2-x1)

Hence slope of OP = (b-0)/(a-0) = b/a

Similarly slope of OQ =(d-0)/(c-0)=d/c

This (b/a)×(d/c)=-1

That is bd = -ac

That is ac+bd=0

Hope this answer helps

Answer 2

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This is the best possible answer

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