Parabola
Grade 11

Question:

<p>The line 4x&nbsp;- 7y + 10 =&nbsp;0 intersects the parabola, y<sup>2</sup> = 4x at the points A and B. The sum of the coordinates of the point of intersection of the tangents drawn at points A and B is:</p>
<p style="display:inline">5</p>
<p style="display:inline">6</p>
<p style="display:inline">7</p>
<p style="display:inline">4</p>

Step-by-Step Solution

Key Concept: The line passing through the points of contact of two tangents is the chord of contact, which is represented by the equation T = 0 for the intersection point of the tangents.
<p>6</p>
Correct Answer: B

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