Question

Circle.

Answer 1

For what value of lambda , does the line 3x+4y=lambda
touch the circle x^2+y^2 =10x

Answer 2

im getting \(\large \lambda = 40, -10\) by lagrange multipliers, but im not sure if it can be worked geometrically... lets try..

Answer 3

yes it is 40 and -10

Answer 4

what are lagarange multipliers

Answer 5

thats calc3 stuff, they use gradient to optimize a constrained function

Answer 6

okay...

Answer 7

im not getting any useful ideas to use geometry at the moment

Answer 8

we have to use algebra actually

Answer 9

but since we have not learnt calc yet in math , i think it should be solved by using some other method