Questions
The point of contact of the tangent to the parabola
which passes through the point (4, 10) and
makes an angle with the axis of the parabola such
that is
detailed solution
Correct option is A
Equation of the tangent at any point 9t2/4,9t/2on the parabola is ty=x+9t2/4. Since it passesthrough (4, 10), 10t=4+9t2/4 or 9t2−40t+16=0.⇒t=4/9,4⋅tanθ=1/t>2⇒t<1/2. Sot=4/9 and the required point is (4/9, 2).Talk to our academic expert!
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