Question

Point P(a,b) lies on the line y=x+1. P is shifted in direction perpendicular to this line so that it meets x axis at point(alpha,0), then find value of alpha In terms of a

Answer 1

Answer:

alpha = 2a + 1

once u plot in the graph ..

the slope is 1

so if u make a triangle.. one of the angles is 45°

the line is perpendicular its 90° ...and the other is 45°

now ... its an isosceles triangle....

a is mid point on hypotenuse...

so ...1 + a = alpha - a

alpha = 2a + 1

...

see the picture for clarification