Question

someone please solve this question‼️

Answer 1

Hey


Given :-


A ( 2 , 0 )


B ( 0 , 2 / 9 )


Midpoint of AB = P ( 1 , p / 3 )


And Q ( -1 , 3p )


To prove :-

the equation 5x + 3y + 2 = 0 passes through point Q .


Now ,

If we put the value of x and y of Q ,in the given equation and if it will be 0 , then it will be said that this Q ( -1 , 3p ) passes through given equation .


Now ,


A ( 2 , 0 )


B ( 0 , 2 / 9 )


And ,


P ( 1 , p/3 )


By mid point concept :-


0 + 2 / 9 / 2 = p/3


=> 2 / 9 * 1 / 2 = p / 3


=> 1 / 3 = p


Now ,


putting value of p in the points :-


So ,

P ( 1 , p/3 )

P ( 1 , 1 / 3 * 1 / 3 )

P ( 1 , 1 / 9 )



Now ,


Q ( -1 , 3* 1/3 )


Q ( -1 , 1 )


And we will put the value of x and y of point Q in the equation ,


So ,


5x + 3y + 2


= 5 ( -1 ) + 3 ( 1 ) + 2

= -5 + 3 + 2


= -5 + 5


= 0


So , the points Q ( -1 , 3p ) passes through the equation 5x + 3y + 2 = 0 .



thanks :)

Answer 2

This may help u .........