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

NTA Abhyas 2020 · Mathematics · Parabola

Two tangents are drawn from a point ( – 4, 3 ) to the parabola y^ 2...

Two tangents are drawn from a point (–4,3)( – 4, 3 ) to the parabola y2=16xy^{2} = 16x. If α\alpha is the angle between them, then the value of cos α\alpha is

Options

  1. A00
  2. B12\dfrac{1}{2}
  3. C32\dfrac{\sqrt{3}}{2}
  4. D12\dfrac{1}{\sqrt{2}}

Correct answer

A. 00

Step-by-step solution

∵(–4,3)∵( – 4, 3 ) lies on the directrix of y2=16xy^{2} = 16x.

∴∴ Angle between tangents is 90°90 °.

∴cos90o=0∴ cos{90}^{o} = 0
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