Maths Olympiad Exam Numerical Ability Co-ordinate geometry

find the foot of the perpendicular from point(3,-5) to the line x-2y=5

Read Solution (Total 1)

let it be (a,b)
a/q
(b+5)/(a-3)=-2
=> b+5=-2a+6
=> b+2a=1 ... 1
also it would lie on given line
a-2b=5 ...2
solving these eqns
a=7/5 b=-9/5
10 years agoHelpfull: Yes(0) No(0)

Maths Olympiad Other Question

Three non parallel tangents are drawn in a circle. What is the probability that it would be an incircle.

Options 1) 1/2
2) 1/3
3) 1/4
4) 1
5) 0
6) 3/4
7) 2/3
8) 4/5
9) 3/5
10)None of these One fourth of a number is greater then one fifth of a number succeding it by 1. Then find the number