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JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1
If the curve y=ax2+bx+c,y = a{x^2} + bx + c, x∈R,x \in R, passes through the point (1,  2)(1,\,\,2) and the tangent line to this curve at origin is y=x,y = x, then the possible values of a,  b,  ca,\,\,b,\,\,c are
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Correct option: C
a=1,    b=1,   c=0a = 1,\,\,\,\,b = 1,\,\,\,c = 0
Option C (a=1,   b=1,   c=0a = 1,\,\,\,b = 1,\,\,\,c = 0) is the correct set of values because the curve passes through (1,2) and has a tangent line y=x at the origin.

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