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Question

If the equation of the tangent to the curve y=ax2+b is y=4x−5, then

A
a+b=2
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B
a(5+b)=4
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C
2a=b
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D
a=2b
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Solution

The correct option is B 2a=b
Solution -
y=ax2+b

dydx=2ax

For line =4x5 to be a tangent

2ax=4

x=2a y=4a+6=4+aba

This point satisfies y=4x5

4+aba=8a5

4+ab=85a

ab+5a=4

a(b+5)=4

B is correct


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