If the curve y = a x 2 + b x + c , x ∈ R , passes through the point 1 , 2 and the tangent line to this curve at origin is y = x , then the possible values of a , b , c are:

Question

If the curve y = a x 2 + b x + c , x ∈ R , passes through the point 1 , 2 and the tangent line to this curve at origin is y = x , then the possible values of a , b , c are:, a = - 1 , b = 1 , c = 1, a = 1 , b = 0 , c = 1, a = 1 , b = 1 , c = 0, a = 1 2 , b = 1 2 , c = 1

MARKS App · Accepted Answer

a + b + c = 2 … 1 and d y d x | 0 , 0 = 1 2 a x + b | 0 , 0 = 1 b = 1 Curve passes through origin So, c = 0 and a = 1

Search any question & find its solution

Looking for more such questions to practice?