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Answer:
we know that
Answered by
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EXPLANATION.
Tangent to the curve y = (√4x - 3) - 1.
Slope = 2/3.
As we know that,
Tangent of the curve = Slope.
⇒ dy/dx = 1/2√4x - 3 x 4.
⇒ dy/dx = 2/√4x - 3.
⇒ 2/√4x - 3 = 2/3.
⇒ √4x - 3 = 3.
Squaring on both side of the equation, we get.
⇒ (√4x - 3)² = (3)².
⇒ 4x - 3 = 9.
⇒ 4x = 9 + 3.
⇒ 4x = 12.
⇒ x = 3.
Put the value of x = 3 in the equation, we get.
⇒ y = (√4(3) - 3) - 1.
⇒ y = (√12 - 3) - 1.
⇒ y = (√9) - 1.
⇒ y = (3) - 1.
⇒ y = 2.
Point are = (3,2).
MORE INFORMATION.
Equation of tangent.
Equation of tangent to the curve y = f(x) at p(x₁, y₁) is,
(1) = (y - y₁) = m(x - x₁).
(2) = The tangent at (x₁, y₁) is parallel to x-axes = (dy/dx) = 0.
(3) = The tangent at (x₁, y₁) is parallel to y-axes = (dy/dx) = ∞.
(4) = The tangent lines makes equal angles with the axes = (dy/dx) = ± 1.
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