If the lines x + y = a and x - y = b touch the curve y = x 2 - 3 x + 2 at the points where the curve intersects the x - axis, then a b is equal to …

Question

If the lines x + y = a and x - y = b touch the curve y = x 2 - 3 x + 2 at the points where the curve intersects the x - axis, then a b is equal to …,

MARKS App · Accepted Answer

y = x 2 - 3 x + 2 , x + y = a , x - y = b ⇒ x 2 - 3 x + 2 = 0 x 1 = 2 x 2 = 1 Therefore, points are ( 2 , 0 ) ( 1 , 0 ) b = 2 a = 1 ∴ a b = 1 2 = 0 . 5

Search any question & find its solution

Looking for more such questions to practice?