Question

45. If sin a and cos a are the roots of the quadratic
equation lx^2 - mx - n = 0, then find the relation
between l, m and n.​

Answer 1

Answer:

m² = l² + 2nl

Step-by-step explanation:

lx^2 - mx - n = 0

lx² - mx - n = 0

x² - (m/l)x - n/l = 0

m/l =  sin a + cos a

n/l = sin a cos a

m²/l² = (  sin a + cos a )² = 1 + sin2a

2n/l = sin2a

m²/l² = 1 + sin2a = 1 + 2n/l

m² = l² + 2nl