AP EAMCET · Maths · Parabola
If the angle between the tangents drawn through the point \((-2,-1)\) to the parabola \(y^2=4 x\) is \(\theta\), then \(\tan 2 \theta=\)
- A 3
- B -3
- C \(\frac{-3}{4}\)
- D \(\frac{3}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{-3}{4}\)
Step-by-step Solution
Detailed explanation
Tangent equation from \( (-2,-1) \) to \( y^2=4x \): \( y = mx + \frac{1}{m} \) \( -1 = m(-2) + \frac{1}{m} \) \( 2m^2 - m - 1 = 0 \) Slopes \( m_1, m_2 \): \( m_1 + m_2 = \frac{1}{2} \) \( m_1 m_2 = -\frac{1}{2} \)…
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