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Question

The triangle formed by the tangents to a parabola y2=4x at the ends of the latus rectum and the double ordinate through the focus is

A
equilateral
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B
isosceles
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C
right-angled isosceles
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D
dependent on the value of a for its classification
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Solution

The correct option is D right-angled isosceles
Slope of tangent is given by 1t
At latus rectum t1=1
on other end t2=1
Product of slopes =1
Thus the triangle formed will be isosceles and right angled
Option C

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