Question

FFind the equation(s) of tangent(s) to the curve y - 3x? - 5x - 7that passes through the bint (0-10).

Answer 1

Correct option is A)
Given curve is y=3x
2
−x+1
dx
dy
​
=6x−1, differentiate the curve
So slope of tangent at (1,3) is, m=
dx
dy
​

∣
∣
∣
∣
∣
​

(1,3)
​
=6(1)−1=5
Hence equation of tangent passes through (1,3) is given by
y−3=5(x−1)
⇒y−3=5x−5
⇒5x−y=2