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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Parabola

NTA Abhyas 2020 · Mathematics · Parabola

The equation of the tangent to the parabola y^ 2 = 4x + 5 which is...

The equation of the tangent to the parabola y2=4x+5y^{2} = 4x + 5 which is parallel to the line y=2x+7y = 2x + 7 is

Options

  1. Ay=2xy = 2x
  2. By=2x−3y = 2x - 3
  3. Cy=2x+3y = 2x + 3
  4. Dy=2x+5y = 2x + 5

Correct answer

C. y=2x+3y = 2x + 3

Step-by-step solution

y^{2} = 4x + 5issameasis same asy^{2} = 4 \left(x+x +\dfrac{5}{4}\right)

The equation of the tangent to y2=4(x+54)y^{2} = 4 \left(x + \dfrac{5}{4}\right)~which is parallel to y=2x+7y = 2x + 7 is

y=2(x+54)+12y = 2\left(x + \dfrac{5}{4}\right) + \dfrac{1}{2}

⇒y=2x+3⇒ y = 2x + 3

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